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129380112 = 2433319661
BaseRepresentation
bin1111011011000…
…10111100010000
3100000110012011000
413231202330100
5231110130422
620501022000
73130466331
oct755427420
9300405130
10129380112
1167039214
12373b4900
1320a5c5a4
141327c288
15b559cac
hex7b62f10

129380112 has 80 divisors (see below), whose sum is σ = 383388160. Its totient is φ = 41731200.

The previous prime is 129380093. The next prime is 129380137. The reversal of 129380112 is 211083921.

It is a super-2 number, since 2×1293801122 = 33478426762265088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8562 + ... + 18222.

It is an arithmetic number, because the mean of its divisors is an integer number (4792352).

Almost surely, 2129380112 is an apocalyptic number.

129380112 is a gapful number since it is divisible by the number (12) 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 129380112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191694080).

129380112 is an abundant number, since it is smaller than the sum of its proper divisors (254008048).

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

129380112 is a wasteful number, since it uses less digits than its factorization.

129380112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9709 (or 9697 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 129380112 is about 11374.5378807229. The cubic root of 129380112 is about 505.7732323458.

The spelling of 129380112 in words is "one hundred twenty-nine million, three hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 9661 13392 19322 28983 38644 57966 77288 86949 115932 154576 173898 231864 260847 299491 347796 463728 521694 598982 695592 898473 1043388 1197964 1391184 1796946 2086776 2395928 2695419 3593892 4173552 4791856 5390838 7187784 8086257 10781676 14375568 16172514 21563352 32345028 43126704 64690056 129380112