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150313464 = 233272312967
BaseRepresentation
bin10001111010110…
…01100111111000
3101110211201022100
420331121213320
5301440012324
622525423400
73503433450
oct1075314770
9343751270
10150313464
1177936804
124240ab60
13251ab7a2
1415d6ad60
15d2e24c9
hex8f599f8

150313464 has 96 divisors (see below), whose sum is σ = 485521920. Its totient is φ = 41076288.

The previous prime is 150313447. The next prime is 150313477. The reversal of 150313464 is 464313051.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5109 + ... + 18075.

It is an arithmetic number, because the mean of its divisors is an integer number (5057520).

Almost surely, 2150313464 is an apocalyptic number.

150313464 is a gapful number since it is divisible by the number (14) 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 150313464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242760960).

150313464 is an abundant number, since it is smaller than the sum of its proper divisors (335208456).

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

150313464 is a wasteful number, since it uses less digits than its factorization.

150313464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13009 (or 13002 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 150313464 is about 12260.2391493804. The cubic root of 150313464 is about 531.6991439670.

The spelling of 150313464 in words is "one hundred fifty million, three hundred thirteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 12967 25934 38901 51868 77802 90769 103736 116703 155604 181538 233406 272307 298241 311208 363076 466812 544614 596482 726152 816921 894723 933624 1089228 1192964 1633842 1789446 2087687 2178456 2385928 2684169 3267684 3578892 4175374 5368338 6263061 6535368 7157784 8350748 10736676 12526122 16701496 18789183 21473352 25052244 37578366 50104488 75156732 150313464