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149730696 = 233217149821
BaseRepresentation
bin10001110110010…
…11010110001000
3101102202002220100
420323023112020
5301312340241
622505125400
73465455433
oct1073132610
9342662810
10149730696
1177578985
1242189860
132503645b
1415c5881a
15d2299b6
hex8ecb588

149730696 has 96 divisors (see below), whose sum is σ = 432783000. Its totient is φ = 46602240.

The previous prime is 149730677. The next prime is 149730701. The reversal of 149730696 is 696037941.

It can be written as a sum of positive squares in 4 ways, for example, as 104652900 + 45077796 = 10230^2 + 6714^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181966 + ... + 182786.

Almost surely, 2149730696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149730696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216391500).

149730696 is an abundant number, since it is smaller than the sum of its proper divisors (283052304).

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

149730696 is a wasteful number, since it uses less digits than its factorization.

149730696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 149730696 is about 12236.4494850426. The cubic root of 149730696 is about 531.0111183261.

It can be divided in two parts, 149730 and 696, that added together give a triangular number (150426 = T548).

The spelling of 149730696 in words is "one hundred forty-nine million, seven hundred thirty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 149 153 204 298 306 408 447 596 612 821 894 1192 1224 1341 1642 1788 2463 2533 2682 3284 3576 4926 5066 5364 6568 7389 7599 9852 10132 10728 13957 14778 15198 19704 20264 22797 27914 29556 30396 41871 45594 55828 59112 60792 83742 91188 111656 122329 125613 167484 182376 244658 251226 334968 366987 489316 502452 733974 978632 1004904 1100961 1467948 2079593 2201922 2935896 4159186 4403844 6238779 8318372 8807688 12477558 16636744 18716337 24955116 37432674 49910232 74865348 149730696