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147323264 = 2711195507
BaseRepresentation
bin10001100011111…
…11100110000000
3101021012210112012
420301333212000
5300203321024
622341352052
73436140614
oct1061774600
9337183465
10147323264
1176184170
1241408628
13246a273a
14157cd344
15ce0150e
hex8c7f980

147323264 has 64 divisors (see below), whose sum is σ = 337089600. Its totient is φ = 63429120.

The previous prime is 147323251. The next prime is 147323287. The reversal of 147323264 is 462323741.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1473232642 = 43408288231227392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 147323264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23999 + ... + 29505.

It is an arithmetic number, because the mean of its divisors is an integer number (5267025).

Almost surely, 2147323264 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 147323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168544800).

147323264 is an abundant number, since it is smaller than the sum of its proper divisors (189766336).

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

147323264 is a wasteful number, since it uses less digits than its factorization.

147323264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5551 (or 5539 counting only the distinct ones).

The product of its digits is 24192, while the sum is 32.

The square root of 147323264 is about 12137.6795146354. The cubic root of 147323264 is about 528.1497891519.

The spelling of 147323264 in words is "one hundred forty-seven million, three hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 608 704 836 1216 1408 1672 2432 3344 5507 6688 11014 13376 22028 26752 44056 60577 88112 104633 121154 176224 209266 242308 352448 418532 484616 704896 837064 969232 1150963 1674128 1938464 2301926 3348256 3876928 4603852 6696512 7753856 9207704 13393024 18415408 36830816 73661632 147323264