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149779968 = 293132577
BaseRepresentation
bin10001110110101…
…11011000000000
3101102211121111020
420323113120000
5301320424333
622510145440
73466052202
oct1073273000
9342747436
10149779968
11776019a8
12421b2280
1325052a00
1415c6c772
15d2393b3
hex8ed7600

149779968 has 120 divisors (see below), whose sum is σ = 432827208. Its totient is φ = 46006272.

The previous prime is 149779963. The next prime is 149780009. The reversal of 149779968 is 869977941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149779963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259296 + ... + 259872.

Almost surely, 2149779968 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 149779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216413604).

149779968 is an abundant number, since it is smaller than the sum of its proper divisors (283047240).

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

149779968 is an equidigital number, since it uses as much as digits as its factorization.

149779968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 595 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 60.

The square root of 149779968 is about 12238.4626485519. The cubic root of 149779968 is about 531.0693586895.

The spelling of 149779968 in words is "one hundred forty-nine million, seven hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 512 577 624 676 768 832 1014 1154 1248 1352 1536 1664 1731 2028 2308 2496 2704 3328 3462 4056 4616 4992 5408 6656 6924 7501 8112 9232 9984 10816 13848 15002 16224 18464 19968 21632 22503 27696 30004 32448 36928 43264 45006 55392 60008 64896 73856 86528 90012 97513 110784 120016 129792 147712 180024 195026 221568 240032 259584 292539 295424 360048 390052 443136 480064 585078 720096 780104 886272 960128 1170156 1440192 1560208 1920256 2340312 2880384 3120416 3840512 4680624 5760768 6240832 9361248 11521536 12481664 18722496 24963328 37444992 49926656 74889984 149779968