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380059680 = 2535721113113
BaseRepresentation
bin10110101001110…
…100000000100000
3222111011000212110
4112221310000200
51234243402210
6101413555320
712263311500
oct2651640040
9874130773
10380059680
11185596510
12a7345b40
136097c3b0
1438693a00
1523575420
hex16a74020

380059680 has 576 divisors, whose sum is σ = 1650595968. Its totient is φ = 72253440.

The previous prime is 380059657. The next prime is 380059697. The reversal of 380059680 is 86950083.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3363304 + ... + 3363416.

It is an arithmetic number, because the mean of its divisors is an integer number (2865618).

Almost surely, 2380059680 is an apocalyptic number.

380059680 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 380059680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825297984).

380059680 is an abundant number, since it is smaller than the sum of its proper divisors (1270536288).

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

380059680 is a wasteful number, since it uses less digits than its factorization.

380059680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 380059680 is about 19495.1193892215. The cubic root of 380059680 is about 724.3535609186.

The spelling of 380059680 in words is "three hundred eighty million, fifty-nine thousand, six hundred eighty".