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60806368 = 257353769
BaseRepresentation
bin1110011111110…
…1010011100000
311020102021122201
43213331103200
5111031300433
610011142544
71335563020
oct347752340
9136367581
1060806368
11313617a7
1218444a54
13c79cccc
14810ba80
155511a7d
hex39fd4e0

60806368 has 48 divisors (see below), whose sum is σ = 137380320. Its totient is φ = 25952256.

The previous prime is 60806363. The next prime is 60806371. The reversal of 60806368 is 86360806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60806363) 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, 78688 + ... + 79456.

It is an arithmetic number, because the mean of its divisors is an integer number (2862090).

Almost surely, 260806368 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 60806368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68690160).

60806368 is an abundant number, since it is smaller than the sum of its proper divisors (76573952).

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

60806368 is a wasteful number, since it uses less digits than its factorization.

60806368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 60806368 is about 7797.8438045398. The cubic root of 60806368 is about 393.2327566905.

The spelling of 60806368 in words is "sixty million, eight hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 353 706 769 1412 1538 2471 2824 3076 4942 5383 5648 6152 9884 10766 11296 12304 19768 21532 24608 39536 43064 79072 86128 172256 271457 542914 1085828 1900199 2171656 3800398 4343312 7600796 8686624 15201592 30403184 60806368