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401231520 = 25325793527
BaseRepresentation
bin10111111010100…
…100111010100000
31000221222200011200
4113322210322200
51310203402040
6103451441200
712641261124
oct2772447240
91027880150
10401231520
111965371a8
12b2456200
1365183001
143b405584
1525358630
hex17ea4ea0

401231520 has 144 divisors (see below), whose sum is σ = 1386927360. Its totient is φ = 105610752.

The previous prime is 401231483. The next prime is 401231533. The reversal of 401231520 is 25132104.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 401231493 and 401231502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111997 + ... + 115523.

It is an arithmetic number, because the mean of its divisors is an integer number (9631440).

Almost surely, 2401231520 is an apocalyptic number.

401231520 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 401231520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693463680).

401231520 is an abundant number, since it is smaller than the sum of its proper divisors (985695840).

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

401231520 is a wasteful number, since it uses less digits than its factorization.

401231520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 401231520 is about 20030.7643388863. The cubic root of 401231520 is about 737.5616847764.

Adding to 401231520 its reverse (25132104), we get a palindrome (426363624).

The spelling of 401231520 in words is "four hundred one million, two hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 79 80 90 96 120 144 158 160 180 237 240 288 316 360 395 474 480 632 711 720 790 948 1185 1264 1422 1440 1580 1896 2370 2528 2844 3160 3527 3555 3792 4740 5688 6320 7054 7110 7584 9480 10581 11376 12640 14108 14220 17635 18960 21162 22752 28216 28440 31743 35270 37920 42324 52905 56432 56880 63486 70540 84648 105810 112864 113760 126972 141080 158715 169296 211620 253944 278633 282160 317430 338592 423240 507888 557266 564320 634860 835899 846480 1015776 1114532 1269720 1393165 1671798 1692960 2229064 2507697 2539440 2786330 3343596 4179495 4458128 5015394 5078880 5572660 6687192 8358990 8916256 10030788 11145320 12538485 13374384 16717980 20061576 22290640 25076970 26748768 33435960 40123152 44581280 50153940 66871920 80246304 100307880 133743840 200615760 401231520