Search a number
-
+
147102264 = 23331973457
BaseRepresentation
bin10001100010010…
…01101000111000
3101020210120101000
420301021220320
5300124233024
622332525000
73434230401
oct1061115070
9336716330
10147102264
1176043121
1241320760
1324625c7a
14157729a8
15cdaacc9
hex8c49a38

147102264 has 64 divisors (see below), whose sum is σ = 410810400. Its totient is φ = 48771072.

The previous prime is 147102259. The next prime is 147102271. The reversal of 147102264 is 462201741.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 40824 + ... + 44280.

Almost surely, 2147102264 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 147102264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205405200).

147102264 is an abundant number, since it is smaller than the sum of its proper divisors (263708136).

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

147102264 is a wasteful number, since it uses less digits than its factorization.

147102264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 147102264 is about 12128.5722160525. The cubic root of 147102264 is about 527.8855640425.

The spelling of 147102264 in words is "one hundred forty-seven million, one hundred two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 197 216 394 591 788 1182 1576 1773 2364 3457 3546 4728 5319 6914 7092 10371 10638 13828 14184 20742 21276 27656 31113 41484 42552 62226 82968 93339 124452 186678 248904 373356 681029 746712 1362058 2043087 2724116 4086174 5448232 6129261 8172348 12258522 16344696 18387783 24517044 36775566 49034088 73551132 147102264