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380037060 = 22325133312
BaseRepresentation
bin10110101001101…
…110011111000100
3222111002212211200
4112221232133010
51234242141220
6101413302500
712263155524
oct2651563704
9874085750
10380037060
11185580517
12a7334a30
1360972000
1438689684
152356d890
hex16a6e7c4

380037060 has 216 divisors, whose sum is σ = 1290383640. Its totient is φ = 90529920.

The previous prime is 380037059. The next prime is 380037061. The reversal of 380037060 is 60730083.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (380037059) and next prime (380037061).

It can be written as a sum of positive squares in 4 ways, for example, as 141705216 + 238331844 = 11904^2 + 15438^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380037061) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12259245 + ... + 12259275.

Almost surely, 2380037060 is an apocalyptic number.

380037060 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 380037060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645191820).

380037060 is an abundant number, since it is smaller than the sum of its proper divisors (910346580).

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

380037060 is a wasteful number, since it uses less digits than its factorization.

380037060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 380037060 is about 19494.5392353859. The cubic root of 380037060 is about 724.3391901908.

The spelling of 380037060 in words is "three hundred eighty million, thirty-seven thousand, sixty".