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150238368 = 2533724841
BaseRepresentation
bin10001111010001…
…11010010100000
3101110200220022000
420331013102200
5301430111433
622524044000
73503001510
oct1075072240
9343626260
10150238368
1177895345
1242393600
1325183557
1415d4b840
15d2ca113
hex8f474a0

150238368 has 96 divisors (see below), whose sum is σ = 500814720. Its totient is φ = 42923520.

The previous prime is 150238349. The next prime is 150238393. The reversal of 150238368 is 863832051.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1502383683 (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6373 + ... + 18468.

It is an arithmetic number, because the mean of its divisors is an integer number (5216820).

Almost surely, 2150238368 is an apocalyptic number.

150238368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

150238368 is an abundant number, since it is smaller than the sum of its proper divisors (350576352).

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

150238368 is a wasteful number, since it uses less digits than its factorization.

150238368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24867 (or 24853 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 150238368 is about 12257.1761837709. The cubic root of 150238368 is about 531.6105843018.

The spelling of 150238368 in words is "one hundred fifty million, two hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 24841 49682 74523 99364 149046 173887 198728 223569 298092 347774 397456 447138 521661 596184 670707 695548 794912 894276 1043322 1192368 1341414 1391096 1564983 1788552 2086644 2384736 2682828 2782192 3129966 3577104 4173288 4694949 5365656 5564384 6259932 7154208 8346576 9389898 10731312 12519864 16693152 18779796 21462624 25039728 37559592 50079456 75119184 150238368