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147974112 = 253211133593
BaseRepresentation
bin10001101000111…
…10011111100000
3101022102212022200
420310132133200
5300340132422
622403333200
73444521256
oct1064363740
9338385280
10147974112
1176589160
1241681200
132486ca60
141591c5d6
15cece2ac
hex8d1e7e0

147974112 has 144 divisors (see below), whose sum is σ = 494505648. Its totient is φ = 41379840.

The previous prime is 147974093. The next prime is 147974119. The reversal of 147974112 is 211479741.

147974112 is a `hidden beast` number, since 1 + 479 + 74 + 112 = 666.

147974112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147974119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39388 + ... + 42980.

It is an arithmetic number, because the mean of its divisors is an integer number (3434067).

Almost surely, 2147974112 is an apocalyptic number.

147974112 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 147974112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247252824).

147974112 is an abundant number, since it is smaller than the sum of its proper divisors (346531536).

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

147974112 is a wasteful number, since it uses less digits than its factorization.

147974112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3622 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 147974112 is about 12164.4610238185. The cubic root of 147974112 is about 528.9264039277.

The spelling of 147974112 in words is "one hundred forty-seven million, nine hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3593 3744 4576 5148 6864 7186 10296 10779 13728 14372 20592 21558 28744 32337 39523 41184 43116 46709 57488 64674 79046 86232 93418 114976 118569 129348 140127 158092 172464 186836 237138 258696 280254 316184 344928 355707 373672 420381 474276 513799 517392 560508 632368 711414 747344 840762 948552 1027598 1034784 1121016 1264736 1422828 1494688 1541397 1681524 1897104 2055196 2242032 2845656 3082794 3363048 3794208 4110392 4484064 4624191 5691312 6165588 6726096 8220784 9248382 11382624 12331176 13452192 16441568 18496764 24662352 36993528 49324704 73987056 147974112