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60856320 = 211357283
BaseRepresentation
bin1110100000100…
…1100000000000
311020111211011210
43220021200000
5111034400240
610012210120
71336161450
oct350114000
9136454153
1060856320
1131396288
1218469940
13c7b9975
148121d60
155521780
hex3a09800

60856320 has 192 divisors, whose sum is σ = 223292160. Its totient is φ = 13860864.

The previous prime is 60856291. The next prime is 60856333. The reversal of 60856320 is 2365806.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214899 + ... + 215181.

It is an arithmetic number, because the mean of its divisors is an integer number (1162980).

Almost surely, 260856320 is an apocalyptic number.

60856320 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 60856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111646080).

60856320 is an abundant number, since it is smaller than the sum of its proper divisors (162435840).

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

60856320 is a wasteful number, since it uses less digits than its factorization.

60856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 60856320 is about 7801.0460836993. The cubic root of 60856320 is about 393.3404065248.

The spelling of 60856320 in words is "sixty million, eight hundred fifty-six thousand, three hundred twenty".