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401298660 = 2232572931087
BaseRepresentation
bin10111111010110…
…101010011100100
31000222010002021100
4113322311103210
51310213024120
6103453120100
712641660640
oct2772652344
91028102240
10401298660
11196582694
12b2489030
13651a7739
143b421c20
152536d490
hex17eb54e4

401298660 has 144 divisors (see below), whose sum is σ = 1397200896. Its totient is φ = 91328256.

The previous prime is 401298659. The next prime is 401298671. The reversal of 401298660 is 66892104.

It is a super-2 number, since 2×4012986602 = 322081229035591200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368637 + ... + 369723.

It is an arithmetic number, because the mean of its divisors is an integer number (9702784).

Almost surely, 2401298660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401298660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698600448).

401298660 is an abundant number, since it is smaller than the sum of its proper divisors (995902236).

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

401298660 is a wasteful number, since it uses less digits than its factorization.

401298660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 401298660 is about 20032.4401908504. The cubic root of 401298660 is about 737.6028223966.

The spelling of 401298660 in words is "four hundred one million, two hundred ninety-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 293 315 420 586 630 879 1087 1172 1260 1465 1758 2051 2174 2637 2930 3261 3516 4102 4348 4395 5274 5435 5860 6153 6522 7609 8204 8790 9783 10255 10548 10870 12306 13044 13185 15218 16305 17580 18459 19566 20510 21740 22827 24612 26370 30436 30765 32610 36918 38045 39132 41020 45654 48915 52740 61530 65220 68481 73836 76090 91308 92295 97830 114135 123060 136962 152180 184590 195660 228270 273924 318491 342405 369180 456540 636982 684810 955473 1273964 1369620 1592455 1910946 2229437 2866419 3184910 3821892 4458874 4777365 5732838 6369820 6688311 8917748 9554730 11147185 11465676 13376622 14332095 19109460 20064933 22294370 26753244 28664190 33441555 40129866 44588740 57328380 66883110 80259732 100324665 133766220 200649330 401298660