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147370112 = 27292372
BaseRepresentation
bin10001100100010…
…11000010000000
3101021022011210022
420302023002000
5300211320422
622342353012
73436424321
oct1062130200
9337264708
10147370112
117620638a
124142b768
13246bab66
1415802448
15ce10342
hex8c8b080

147370112 has 72 divisors (see below), whose sum is σ = 312501735. Its totient is φ = 69221376.

The previous prime is 147370043. The next prime is 147370117. The reversal of 147370112 is 211073741.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

147370112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 134003776 + 13366336 = 11576^2 + 3656^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8584.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147370117) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3982958 + ... + 3982994.

Almost surely, 2147370112 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 147370112

147370112 is an abundant number, since it is smaller than the sum of its proper divisors (165131623).

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

147370112 is an frugal number, since it uses more digits than its factorization.

147370112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 147370112 is about 12139.6092194106. The cubic root of 147370112 is about 528.2057661430.

The spelling of 147370112 in words is "one hundred forty-seven million, three hundred seventy thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 116 128 148 232 296 464 592 841 928 1073 1184 1369 1682 1856 2146 2368 2738 3364 3712 4292 4736 5476 6728 8584 10952 13456 17168 21904 26912 31117 34336 39701 43808 53824 62234 68672 79402 87616 107648 124468 137344 158804 175232 248936 317608 497872 635216 995744 1151329 1270432 1991488 2302658 2540864 3982976 4605316 5081728 9210632 18421264 36842528 73685056 147370112