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149214960 = 2434523027
BaseRepresentation
bin10001110010011…
…01011011110000
3101101202220110000
420321031123300
5301144334320
622450110000
73461210016
oct1071153360
9341686400
10149214960
1177256454
1241b7b300
1324bb579b
1415b628b6
15d176c90
hex8e4d6f0

149214960 has 100 divisors (see below), whose sum is σ = 518268168. Its totient is φ = 39788928.

The previous prime is 149214959. The next prime is 149214973. The reversal of 149214960 is 69412941.

It is a happy number.

149214960 is a `hidden beast` number, since 149 + 21 + 496 + 0 = 666.

149214960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5034 + ... + 17993.

Almost surely, 2149214960 is an apocalyptic number.

149214960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149214960 is an abundant number, since it is smaller than the sum of its proper divisors (369053208).

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

149214960 is a wasteful number, since it uses less digits than its factorization.

149214960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23052 (or 23037 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 149214960 is about 12215.3575469570. The cubic root of 149214960 is about 530.4007411795.

It can be divided in two parts, 14921 and 4960, that added together give a square (19881 = 1412).

The spelling of 149214960 in words is "one hundred forty-nine million, two hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 23027 46054 69081 92108 115135 138162 184216 207243 230270 276324 345405 368432 414486 460540 552648 621729 690810 828972 921080 1036215 1105296 1243458 1381620 1657944 1842160 1865187 2072430 2486916 2763240 3108645 3315888 3730374 4144860 4973832 5526480 6217290 7460748 8289720 9325935 9947664 12434580 14921496 16579440 18651870 24869160 29842992 37303740 49738320 74607480 149214960