Search a number
-
+
149713536 = 273755697
BaseRepresentation
bin10001110110001…
…11001010000000
3101102201020100210
420323013022000
5301311313121
622504514120
73465354420
oct1073071200
9342636323
10149713536
1177566aa5
124217b940
132502b6bb
1415c52480
15d224876
hex8ec7280

149713536 has 64 divisors (see below), whose sum is σ = 454495680. Its totient is φ = 42774528.

The previous prime is 149713519. The next prime is 149713549. The reversal of 149713536 is 635317941.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 149713494 and 149713503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25161 + ... + 30536.

It is an arithmetic number, because the mean of its divisors is an integer number (7101495).

Almost surely, 2149713536 is an apocalyptic number.

149713536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149713536 is an abundant number, since it is smaller than the sum of its proper divisors (304782144).

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

149713536 is an equidigital number, since it uses as much as digits as its factorization.

149713536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55721 (or 55709 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 149713536 is about 12235.7482811637. The cubic root of 149713536 is about 530.9908319071.

The spelling of 149713536 in words is "one hundred forty-nine million, seven hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 55697 111394 167091 222788 334182 389879 445576 668364 779758 891152 1169637 1336728 1559516 1782304 2339274 2673456 3119032 3564608 4678548 5346912 6238064 7129216 9357096 10693824 12476128 18714192 21387648 24952256 37428384 49904512 74856768 149713536