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401223120 = 243517293391
BaseRepresentation
bin10111111010100…
…010110111010000
31000221222020122120
4113322202313100
51310203114440
6103451334240
712641224464
oct2772426720
91027866576
10401223120
11196530961
12b2451380
136517c23c
143b4024a4
1525355dd0
hex17ea2dd0

401223120 has 160 divisors (see below), whose sum is σ = 1362769920. Its totient is φ = 97198080.

The previous prime is 401223113. The next prime is 401223127. The reversal of 401223120 is 21322104.

It is an interprime number because it is at equal distance from previous prime (401223113) and next prime (401223127).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 401223120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401223127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116625 + ... + 120015.

It is an arithmetic number, because the mean of its divisors is an integer number (8517312).

Almost surely, 2401223120 is an apocalyptic number.

401223120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681384960).

401223120 is an abundant number, since it is smaller than the sum of its proper divisors (961546800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401223120 is a wasteful number, since it uses less digits than its factorization.

401223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 401223120 is about 20030.5546603183. The cubic root of 401223120 is about 737.5565376555.

Adding to 401223120 its reverse (21322104), we get a palindrome (422545224).

The spelling of 401223120 in words is "four hundred one million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 29 30 34 40 48 51 58 60 68 80 85 87 102 116 120 136 145 170 174 204 232 240 255 272 290 340 348 408 435 464 493 510 580 680 696 816 870 986 1020 1160 1360 1392 1479 1740 1972 2040 2320 2465 2958 3391 3480 3944 4080 4930 5916 6782 6960 7395 7888 9860 10173 11832 13564 14790 16955 19720 20346 23664 27128 29580 33910 39440 40692 50865 54256 57647 59160 67820 81384 98339 101730 115294 118320 135640 162768 172941 196678 203460 230588 271280 288235 295017 345882 393356 406920 461176 491695 576470 590034 691764 786712 813840 864705 922352 983390 1152940 1180068 1383528 1475085 1573424 1671763 1729410 1966780 2305880 2360136 2767056 2950170 3343526 3458820 3933560 4611760 4720272 5015289 5900340 6687052 6917640 7867120 8358815 10030578 11800680 13374104 13835280 16717630 20061156 23601360 25076445 26748208 33435260 40122312 50152890 66870520 80244624 100305780 133741040 200611560 401223120