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149756480 = 2651924631
BaseRepresentation
bin10001110110100…
…01101001000000
3101102210102021022
420323101221000
5301314201410
622505445012
73465623546
oct1073215100
9342712238
10149756480
1177596295
12421a0768
1325045103
1415c63d96
15d232455
hex8ed1a40

149756480 has 56 divisors (see below), whose sum is σ = 375391680. Its totient is φ = 56747520.

The previous prime is 149756471. The next prime is 149756483. The reversal of 149756480 is 84657941.

149756480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (149756483) by changing a digit.

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, 6236 + ... + 18395.

Almost surely, 2149756480 is an apocalyptic number.

149756480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149756480 is an abundant number, since it is smaller than the sum of its proper divisors (225635200).

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

149756480 is a wasteful number, since it uses less digits than its factorization.

149756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24667 (or 24657 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 149756480 is about 12237.5030132785. The cubic root of 149756480 is about 531.0415970572.

The spelling of 149756480 in words is "one hundred forty-nine million, seven hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 6080 24631 49262 98524 123155 197048 246310 394096 467989 492620 788192 935978 985240 1576384 1871956 1970480 2339945 3743912 3940960 4679890 7487824 7881920 9359780 14975648 18719560 29951296 37439120 74878240 149756480