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60825128 = 2371326427
BaseRepresentation
bin1110100000000…
…1111000101000
311020110020101112
43220001320220
5111032401003
610011405452
71336001510
oct350017050
9136406345
1060825128
1131374901
1218453888
13c7a8700
148114840
1555173d8
hex3a01e28

60825128 has 48 divisors (see below), whose sum is σ = 141158880. Its totient is φ = 24058944.

The previous prime is 60825119. The next prime is 60825143. The reversal of 60825128 is 82152806.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 60825094 and 60825103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6251 + ... + 12677.

It is an arithmetic number, because the mean of its divisors is an integer number (2940810).

Almost surely, 260825128 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 60825128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70579440).

60825128 is an abundant number, since it is smaller than the sum of its proper divisors (80333752).

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

60825128 is a wasteful number, since it uses less digits than its factorization.

60825128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6466 (or 6449 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 60825128 is about 7799.0466084003. The cubic root of 60825128 is about 393.2731926307.

The spelling of 60825128 in words is "sixty million, eight hundred twenty-five thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 2366 4732 6427 9464 12854 25708 44989 51416 83551 89978 167102 179956 334204 359912 584857 668408 1086163 1169714 2172326 2339428 4344652 4678856 7603141 8689304 15206282 30412564 60825128