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150996312 = 2336171523
BaseRepresentation
bin10010000000000…
…00010101011000
3101112010102000000
421000000111120
5302123340222
622552213000
73512306325
oct1100002530
9345112000
10150996312
1178262845
124269a160
132538a53c
14160a7b4c
15d3c99ac
hex9000558

150996312 has 112 divisors (see below), whose sum is σ = 449747640. Its totient is φ = 47340288.

The previous prime is 150996277. The next prime is 150996323. The reversal of 150996312 is 213699051.

150996312 is a `hidden beast` number, since 15 + 0 + 9 + 9 + 631 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 98383 + ... + 99905.

Almost surely, 2150996312 is an apocalyptic number.

150996312 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 150996312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224873820).

150996312 is an abundant number, since it is smaller than the sum of its proper divisors (298751328).

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

150996312 is a wasteful number, since it uses less digits than its factorization.

150996312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 150996312 is about 12288.0556639364. The cubic root of 150996312 is about 532.5030668342.

The spelling of 150996312 in words is "one hundred fifty million, nine hundred ninety-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 729 918 972 1224 1377 1458 1523 1836 1944 2754 2916 3046 3672 4131 4569 5508 5832 6092 8262 9138 11016 12184 12393 13707 16524 18276 24786 25891 27414 33048 36552 41121 49572 51782 54828 77673 82242 99144 103564 109656 123363 155346 164484 207128 233019 246726 310692 328968 370089 466038 493452 621384 699057 740178 932076 986904 1110267 1398114 1480356 1864152 2097171 2220534 2796228 2960712 4194342 4441068 5592456 6291513 8388684 8882136 12583026 16777368 18874539 25166052 37749078 50332104 75498156 150996312