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147376128 = 211317283
BaseRepresentation
bin10001100100011…
…00100000000000
3101021022111001010
420302030200000
5300212014003
622342440520
73436451004
oct1062144000
9337274033
10147376128
117620a959
1241433140
13246c0813
1415804704
15ce12003
hex8c8c800

147376128 has 144 divisors (see below), whose sum is σ = 422407440. Its totient is φ = 45678592.

The previous prime is 147376087. The next prime is 147376133. The reversal of 147376128 is 821673741.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1775575 + ... + 1775657.

It is an arithmetic number, because the mean of its divisors is an integer number (2933385).

Almost surely, 2147376128 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 147376128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211203720).

147376128 is an abundant number, since it is smaller than the sum of its proper divisors (275031312).

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

147376128 is an equidigital number, since it uses as much as digits as its factorization.

147376128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 105 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 147376128 is about 12139.8570008052. The cubic root of 147376128 is about 528.2129535855.

The spelling of 147376128 in words is "one hundred forty-seven million, three hundred seventy-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 83 96 102 128 136 166 192 204 249 256 272 289 332 384 408 498 512 544 578 664 768 816 867 996 1024 1088 1156 1328 1411 1536 1632 1734 1992 2048 2176 2312 2656 2822 3072 3264 3468 3984 4233 4352 4624 5312 5644 6144 6528 6936 7968 8466 8704 9248 10624 11288 13056 13872 15936 16932 17408 18496 21248 22576 23987 26112 27744 31872 33864 34816 36992 42496 45152 47974 52224 55488 63744 67728 71961 73984 84992 90304 95948 104448 110976 127488 135456 143922 147968 169984 180608 191896 221952 254976 270912 287844 295936 361216 383792 443904 509952 541824 575688 591872 722432 767584 887808 1083648 1151376 1444864 1535168 1775616 2167296 2302752 2889728 3070336 4334592 4605504 6140672 8669184 9211008 12281344 18422016 24562688 36844032 49125376 73688064 147376128