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147010152 = 23317794561
BaseRepresentation
bin10001100001100…
…11001001101000
3101020121220000110
420300303021220
5300113311102
622330534320
73433365012
oct1060631150
9336556013
10147010152
1175a8a9a3
12412973a0
13245c3073
141574b1b2
15cd8d86c
hex8c33268

147010152 has 64 divisors (see below), whose sum is σ = 394156800. Its totient is φ = 45527040.

The previous prime is 147010147. The next prime is 147010159. The reversal of 147010152 is 251010741.

It is a happy number.

It is a super-2 number, since 2×1470101522 = 43223969582126208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (147010159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29952 + ... + 34512.

It is an arithmetic number, because the mean of its divisors is an integer number (6158700).

Almost surely, 2147010152 is an apocalyptic number.

147010152 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 147010152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197078400).

147010152 is an abundant number, since it is smaller than the sum of its proper divisors (247146648).

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

147010152 is a wasteful number, since it uses less digits than its factorization.

147010152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 147010152 is about 12124.7743071778. The cubic root of 147010152 is about 527.7753578352.

Adding to 147010152 its reverse (251010741), we get a palindrome (398020893).

The spelling of 147010152 in words is "one hundred forty-seven million, ten thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 79 102 136 158 204 237 316 408 474 632 948 1343 1896 2686 4029 4561 5372 8058 9122 10744 13683 16116 18244 27366 32232 36488 54732 77537 109464 155074 232611 310148 360319 465222 620296 720638 930444 1080957 1441276 1860888 2161914 2882552 4323828 6125423 8647656 12250846 18376269 24501692 36752538 49003384 73505076 147010152