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60397328 = 2417233953
BaseRepresentation
bin1110011001100…
…1011100010000
311012122111120002
43212121130100
5110430203303
65554305132
71332240335
oct346313420
9135574502
1060397328
1131102452
12182881a8
13c688a84
14804298c
155480788
hex3999710

60397328 has 40 divisors (see below), whose sum is σ = 124565688. Its totient is φ = 28270592.

The previous prime is 60397321. The next prime is 60397339. The reversal of 60397328 is 82379306.

It can be written as a sum of positive squares in 4 ways, for example, as 6697744 + 53699584 = 2588^2 + 7328^2 .

It is a junction number, because it is equal to n+sod(n) for n = 60397291 and 60397300.

It is not an unprimeable number, because it can be changed into a prime (60397321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62900 + ... + 63852.

Almost surely, 260397328 is an apocalyptic number.

60397328 is a gapful number since it is divisible by the number (68) 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 60397328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62282844).

60397328 is an abundant number, since it is smaller than the sum of its proper divisors (64168360).

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

60397328 is a wasteful number, since it uses less digits than its factorization.

60397328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 60397328 is about 7771.5717843947. The cubic root of 60397328 is about 392.3490227614.

The spelling of 60397328 in words is "sixty million, three hundred ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 233 272 466 932 953 1864 1906 3728 3812 3961 7624 7922 15248 15844 16201 31688 32402 63376 64804 129608 222049 259216 444098 888196 1776392 3552784 3774833 7549666 15099332 30198664 60397328