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380069136 = 2432171071451
BaseRepresentation
bin10110101001110…
…110010100010000
3222111011111211200
4112221312110100
51234244203021
6101414111200
712263351166
oct2651662420
9874144750
10380069136
111855a2627
12a734b500
13609837a5
1438697236
1523578126
hex16a76510

380069136 has 120 divisors (see below), whose sum is σ = 1137543264. Its totient is φ = 118041600.

The previous prime is 380069113. The next prime is 380069147. The reversal of 380069136 is 631960083.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 380069136.

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 23 ways as a sum of consecutive naturals, for example, 261211 + ... + 262661.

Almost surely, 2380069136 is an apocalyptic number.

380069136 is a gapful number since it is divisible by the number (36) 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 380069136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568771632).

380069136 is an abundant number, since it is smaller than the sum of its proper divisors (757474128).

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

380069136 is a wasteful number, since it uses less digits than its factorization.

380069136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 380069136 is about 19495.3619099518. The cubic root of 380069136 is about 724.3595682475.

The spelling of 380069136 in words is "three hundred eighty million, sixty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 107 136 144 153 204 214 272 306 321 408 428 612 642 816 856 963 1224 1284 1451 1712 1819 1926 2448 2568 2902 3638 3852 4353 5136 5457 5804 7276 7704 8706 10914 11608 13059 14552 15408 16371 17412 21828 23216 24667 26118 29104 32742 34824 43656 49334 52236 65484 69648 74001 87312 98668 104472 130968 148002 155257 197336 208944 222003 261936 296004 310514 394672 444006 465771 592008 621028 888012 931542 1184016 1242056 1397313 1776024 1863084 2484112 2639369 2794626 3552048 3726168 5278738 5589252 7452336 7918107 10557476 11178504 15836214 21114952 22357008 23754321 31672428 42229904 47508642 63344856 95017284 126689712 190034568 380069136