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379560060 = 2233511237157
BaseRepresentation
bin10110100111111…
…010000001111100
3222110012122112000
4112213322001330
51234131410220
6101355142300
712256131045
oct2647720174
9873178460
10379560060
11185285100
12a7144990
1360835b69
14385a38cc
15234c7390
hex169fa07c

379560060 has 288 divisors, whose sum is σ = 1341533760. Its totient is φ = 88957440.

The previous prime is 379560043. The next prime is 379560061. The reversal of 379560060 is 60065973.

It is a happy number.

379560060 is a `hidden beast` number, since 37 + 9 + 560 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 379559997 and 379560024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379560061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2417502 + ... + 2417658.

Almost surely, 2379560060 is an apocalyptic number.

379560060 is a gapful number since it is divisible by the number (30) 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 379560060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670766880).

379560060 is an abundant number, since it is smaller than the sum of its proper divisors (961973700).

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

379560060 is a wasteful number, since it uses less digits than its factorization.

379560060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 379560060 is about 19482.3011987804. The cubic root of 379560060 is about 724.0360141014.

The spelling of 379560060 in words is "three hundred seventy-nine million, five hundred sixty thousand, sixty".