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149894712 = 233411171237
BaseRepresentation
bin10001110111100…
…11011000111000
3101110001102220000
420323303120320
5301333112322
622512433000
73500040552
oct1073633070
9343042800
10149894712
1177680130
1242248760
1325092cc6
1415c9c4d2
15d25d3ac
hex8ef3638

149894712 has 160 divisors (see below), whose sum is σ = 485345520. Its totient is φ = 42716160.

The previous prime is 149894677. The next prime is 149894737. The reversal of 149894712 is 217498941.

It is a happy number.

149894712 is a `hidden beast` number, since 1 + 498 + 94 + 71 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120558 + ... + 121794.

Almost surely, 2149894712 is an apocalyptic number.

149894712 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 149894712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242672760).

149894712 is an abundant number, since it is smaller than the sum of its proper divisors (335450808).

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

149894712 is a wasteful number, since it uses less digits than its factorization.

149894712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1270 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 149894712 is about 12243.1495947734. The cubic root of 149894712 is about 531.2049386093.

It can be divided in two parts, 14989 and 4712, that added together give a triangular number (19701 = T198).

The spelling of 149894712 in words is "one hundred forty-nine million, eight hundred ninety-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 81 88 99 102 108 132 136 153 162 187 198 204 216 264 297 306 324 374 396 408 459 561 594 612 648 748 792 891 918 1122 1188 1224 1237 1377 1496 1683 1782 1836 2244 2376 2474 2754 3366 3564 3672 3711 4488 4948 5049 5508 6732 7128 7422 9896 10098 11016 11133 13464 13607 14844 15147 20196 21029 22266 27214 29688 30294 33399 40392 40821 42058 44532 54428 60588 63087 66798 81642 84116 89064 100197 108856 121176 122463 126174 133596 163284 168232 189261 200394 231319 244926 252348 267192 326568 367389 378522 400788 462638 489852 504696 567783 693957 734778 757044 801576 925276 979704 1102167 1135566 1387914 1469556 1514088 1703349 1850552 2081871 2204334 2271132 2775828 2939112 3406698 4163742 4408668 4542264 5551656 6245613 6813396 8327484 8817336 12491226 13626792 16654968 18736839 24982452 37473678 49964904 74947356 149894712