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401620560 = 2435111491021
BaseRepresentation
bin10111111100000…
…011111001010000
31000222201102211120
4113330003321100
51310303324220
6103504042240
712644501265
oct2774037120
91028642746
10401620560
11196782520
12b2603380
136528b103
143b4a726c
15253d3a40
hex17f03e50

401620560 has 160 divisors (see below), whose sum is σ = 1368662400. Its totient is φ = 96614400.

The previous prime is 401620519. The next prime is 401620573. The reversal of 401620560 is 65026104.

401620560 = T481 + T482 + ... + T1360.

It is a super-2 number, since 2×4016205602 = 322598148429427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 401620560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392850 + ... + 393870.

It is an arithmetic number, because the mean of its divisors is an integer number (8554140).

Almost surely, 2401620560 is an apocalyptic number.

401620560 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 401620560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684331200).

401620560 is an abundant number, since it is smaller than the sum of its proper divisors (967041840).

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

401620560 is a wasteful number, since it uses less digits than its factorization.

401620560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 401620560 is about 20040.4730483090. The cubic root of 401620560 is about 737.7999913340.

Adding to 401620560 its reverse (65026104), we get a palindrome (466646664).

The spelling of 401620560 in words is "four hundred one million, six hundred twenty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 149 165 176 220 240 264 298 330 440 447 528 596 660 745 880 894 1021 1192 1320 1490 1639 1788 2042 2235 2384 2640 2980 3063 3278 3576 4084 4470 4917 5105 5960 6126 6556 7152 8168 8195 8940 9834 10210 11231 11920 12252 13112 15315 16336 16390 17880 19668 20420 22462 24504 24585 26224 30630 32780 33693 35760 39336 40840 44924 49008 49170 56155 61260 65560 67386 78672 81680 89848 98340 112310 122520 131120 134772 152129 168465 179696 196680 224620 245040 269544 304258 336930 393360 449240 456387 539088 608516 673860 760645 898480 912774 1217032 1347720 1521290 1673419 1825548 2281935 2434064 2695440 3042580 3346838 3651096 4563870 5020257 6085160 6693676 7302192 8367095 9127740 10040514 12170320 13387352 16734190 18255480 20081028 25101285 26774704 33468380 36510960 40162056 50202570 66936760 80324112 100405140 133873520 200810280 401620560