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151530264 = 2334379617
BaseRepresentation
bin10010000100000…
…10101100011000
3101120010112110000
421002002230120
5302242432024
623011453000
73516662124
oct1102025430
9346115400
10151530264
1178597a26
12428b7160
13255165a2
14161a6584
15d482cc9
hex9082b18

151530264 has 80 divisors (see below), whose sum is σ = 426234600. Its totient is φ = 50295168.

The previous prime is 151530257. The next prime is 151530271. The reversal of 151530264 is 462035151.

It is an interprime number because it is at equal distance from previous prime (151530257) and next prime (151530271).

It is a super-2 number, since 2×1515302642 = 45922841815819392, which contains 22 as substring.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 245284 + ... + 245900.

Almost surely, 2151530264 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 151530264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213117300).

151530264 is an abundant number, since it is smaller than the sum of its proper divisors (274704336).

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

151530264 is a wasteful number, since it uses less digits than its factorization.

151530264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 151530264 is about 12309.7629546633. The cubic root of 151530264 is about 533.1300061743.

The spelling of 151530264 in words is "one hundred fifty-one million, five hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 379 617 648 758 1137 1234 1516 1851 2274 2468 3032 3411 3702 4548 4936 5553 6822 7404 9096 10233 11106 13644 14808 16659 20466 22212 27288 30699 33318 40932 44424 49977 61398 66636 81864 99954 122796 133272 199908 233843 245592 399816 467686 701529 935372 1403058 1870744 2104587 2806116 4209174 5612232 6313761 8418348 12627522 16836696 18941283 25255044 37882566 50510088 75765132 151530264