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120401892 = 2232133143193
BaseRepresentation
bin1110010110100…
…10111111100100
322101120001100100
413023102333210
5221310330032
615540344100
72661253632
oct713227744
9271501310
10120401892
1161a667a6
12343a5030
131bc37b30
1411dc2352
15a88497c
hex72d2fe4

120401892 has 144 divisors (see below), whose sum is σ = 347995648. Its totient is φ = 34836480.

The previous prime is 120401873. The next prime is 120401899. The reversal of 120401892 is 298104021.

It is not an unprimeable number, because it can be changed into a prime (120401899) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 623748 + ... + 623940.

Almost surely, 2120401892 is an apocalyptic number.

120401892 is a gapful number since it is divisible by the number (12) 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 120401892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173997824).

120401892 is an abundant number, since it is smaller than the sum of its proper divisors (227593756).

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

120401892 is a wasteful number, since it uses less digits than its factorization.

120401892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 120401892 is about 10972.7795931569. The cubic root of 120401892 is about 493.7924406824.

The spelling of 120401892 in words is "one hundred twenty million, four hundred one thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 43 52 62 78 86 93 117 124 129 156 172 186 193 234 258 279 372 386 387 403 468 516 558 559 579 772 774 806 1116 1118 1158 1209 1333 1548 1612 1677 1737 2236 2316 2418 2509 2666 3354 3474 3627 3999 4836 5018 5031 5332 5983 6708 6948 7254 7527 7998 8299 10036 10062 11966 11997 14508 15054 15996 16598 17329 17949 20124 22581 23932 23994 24897 30108 33196 34658 35898 45162 47988 49794 51987 53847 69316 71796 74691 77779 90324 99588 103974 107694 107887 149382 155558 155961 207948 215388 215774 233337 257269 298764 311116 311922 323661 431548 466674 514538 623844 647322 700011 771807 933348 970983 1029076 1294644 1400022 1543614 1941966 2315421 2800044 3087228 3344497 3883932 4630842 6688994 9261684 10033491 13377988 20066982 30100473 40133964 60200946 120401892