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380135076 = 223231917211
BaseRepresentation
bin10110101010000…
…110011010100100
3222111021212021220
4112222012122210
51234303310301
6101415340340
712264044346
oct2652063244
9874255256
10380135076
11185638122
12a73816b0
13609a77c9
14386b3296
152358c936
hex16a866a4

380135076 has 48 divisors (see below), whose sum is σ = 930521088. Its totient is φ = 120551200.

The previous prime is 380135069. The next prime is 380135083. The reversal of 380135076 is 670531083.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (380135069) and next prime (380135083).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49111 + ... + 56321.

It is an arithmetic number, because the mean of its divisors is an integer number (19385856).

Almost surely, 2380135076 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 380135076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465260544).

380135076 is an abundant number, since it is smaller than the sum of its proper divisors (550386012).

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

380135076 is a wasteful number, since it uses less digits than its factorization.

380135076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7432 (or 7430 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 380135076 is about 19497.0530080830. The cubic root of 380135076 is about 724.4014566860.

The spelling of 380135076 in words is "three hundred eighty million, one hundred thirty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 191 276 382 573 764 1146 2292 4393 7211 8786 13179 14422 17572 21633 26358 28844 43266 52716 86532 165853 331706 497559 663412 995118 1377301 1990236 2754602 4131903 5509204 8263806 16527612 31677923 63355846 95033769 126711692 190067538 380135076