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147153072 = 24311337827
BaseRepresentation
bin10001100010101…
…10000010110000
3101020220011001210
420301112002300
5300132344242
622334000120
73434531463
oct1061260260
9336804053
10147153072
1176078310
1241346040
1324643131
14157872da
15cdbad9c
hex8c560b0

147153072 has 80 divisors (see below), whose sum is σ = 416437632. Its totient is φ = 44405760.

The previous prime is 147153053. The next prime is 147153077. The reversal of 147153072 is 270351741.

It is not an unprimeable number, because it can be changed into a prime (147153077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177523 + ... + 178349.

Almost surely, 2147153072 is an apocalyptic number.

147153072 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 147153072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208218816).

147153072 is an abundant number, since it is smaller than the sum of its proper divisors (269284560).

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

147153072 is a wasteful number, since it uses less digits than its factorization.

147153072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 147153072 is about 12130.6665933905. Note that the first 3 decimals coincide. The cubic root of 147153072 is about 527.9463329292.

The spelling of 147153072 in words is "one hundred forty-seven million, one hundred fifty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 337 528 674 827 1011 1348 1654 2022 2481 2696 3308 3707 4044 4962 5392 6616 7414 8088 9097 9924 11121 13232 14828 16176 18194 19848 22242 27291 29656 36388 39696 44484 54582 59312 72776 88968 109164 145552 177936 218328 278699 436656 557398 836097 1114796 1672194 2229592 3065689 3344388 4459184 6131378 6688776 9197067 12262756 13377552 18394134 24525512 36788268 49051024 73576536 147153072