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149172672 = 2631126421
BaseRepresentation
bin10001110010000…
…11000111000000
3101101200202102210
420321003013000
5301142011142
622445142120
73460642515
oct1071030700
9341622383
10149172672
1177227700
1241b5a940
1324b9c46c
1415b5130c
15d16949c
hex8e431c0

149172672 has 84 divisors (see below), whose sum is σ = 433896008. Its totient is φ = 45196800.

The previous prime is 149172631. The next prime is 149172703. The reversal of 149172672 is 276271941.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 149172672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20022 + ... + 26442.

Almost surely, 2149172672 is an apocalyptic number.

149172672 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 149172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216948004).

149172672 is an abundant number, since it is smaller than the sum of its proper divisors (284723336).

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

149172672 is a wasteful number, since it uses less digits than its factorization.

149172672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6458 (or 6437 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 149172672 is about 12213.6264884759. The cubic root of 149172672 is about 530.3506306863.

The spelling of 149172672 in words is "one hundred forty-nine million, one hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1936 2112 2904 3872 5808 6421 7744 11616 12842 19263 23232 25684 38526 51368 70631 77052 102736 141262 154104 205472 211893 282524 308208 410944 423786 565048 616416 776941 847572 1130096 1232832 1553882 1695144 2260192 2330823 3107764 3390288 4520384 4661646 6215528 6780576 9323292 12431056 13561152 18646584 24862112 37293168 49724224 74586336 149172672