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60428520 = 23325229733
BaseRepresentation
bin1110011010000…
…1000011101000
311012201002100100
43212201003220
5110432203040
65555105400
71332430305
oct346410350
9135632310
1060428520
1131123929
12182a2260
13c69a029
1480500ac
155489b30
hex39a10e8

60428520 has 96 divisors (see below), whose sum is σ = 197519400. Its totient is φ = 16022016.

The previous prime is 60428519. The next prime is 60428551. The reversal of 60428520 is 2582406.

60428520 is a `hidden beast` number, since 604 + 2 + 8 + 52 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59629284 + 799236 = 7722^2 + 894^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82074 + ... + 82806.

Almost surely, 260428520 is an apocalyptic number.

60428520 is a gapful number since it is divisible by the number (60) 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 60428520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98759700).

60428520 is an abundant number, since it is smaller than the sum of its proper divisors (137090880).

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

60428520 is a wasteful number, since it uses less digits than its factorization.

60428520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 60428520 is about 7773.5783266138. The cubic root of 60428520 is about 392.4165535885.

The spelling of 60428520 in words is "sixty million, four hundred twenty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 229 360 458 687 733 916 1145 1374 1466 1832 2061 2199 2290 2748 2932 3435 3665 4122 4398 4580 5496 5864 6597 6870 7330 8244 8796 9160 10305 10995 13194 13740 14660 16488 17592 20610 21990 26388 27480 29320 32985 41220 43980 52776 65970 82440 87960 131940 167857 263880 335714 503571 671428 839285 1007142 1342856 1510713 1678570 2014284 2517855 3021426 3357140 4028568 5035710 6042852 6714280 7553565 10071420 12085704 15107130 20142840 30214260 60428520