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120406426460 = 225192329475051
BaseRepresentation
bin111000000100011001…
…0000100001101011100
3102111210022221012210022
41300020302010031130
53433043021121320
6131151451331312
711461532511125
oct1601062041534
9374708835708
10120406426460
114707831a361
121b403a50b38
13b47b468ab8
145b8330104c
1531ea9d8325
hex1c08c8435c

120406426460 has 96 divisors (see below), whose sum is σ = 287311449600. Its totient is φ = 42138835200.

The previous prime is 120406426457. The next prime is 120406426477. The reversal of 120406426460 is 64624604021.

It is a self number, because there is not a number n which added to its sum of digits gives 120406426460.

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, 15935 + ... + 490985.

It is an arithmetic number, because the mean of its divisors is an integer number (2992827600).

Almost surely, 2120406426460 is an apocalyptic number.

120406426460 is a gapful number since it is divisible by the number (10) 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 120406426460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143655724800).

120406426460 is an abundant number, since it is smaller than the sum of its proper divisors (166905023140).

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

120406426460 is a wasteful number, since it uses less digits than its factorization.

120406426460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475131 (or 475129 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 120406426460 in words is "one hundred twenty billion, four hundred six million, four hundred twenty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 23 29 38 46 58 76 92 95 115 116 145 190 230 290 380 437 460 551 580 667 874 1102 1334 1748 2185 2204 2668 2755 3335 4370 5510 6670 8740 11020 12673 13340 25346 50692 63365 126730 253460 475051 950102 1900204 2375255 4750510 9025969 9501020 10926173 13776479 18051938 21852346 27552958 36103876 43704692 45129845 54630865 55105916 68882395 90259690 109261730 137764790 180519380 207597287 218523460 261753101 275529580 316859017 415194574 523506202 633718034 830389148 1037986435 1047012404 1267436068 1308765505 1584295085 2075972870 2617531010 3168590170 4151945740 5235062020 6020321323 6337180340 12040642646 24081285292 30101606615 60203213230 120406426460