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149941008 = 24327197829
BaseRepresentation
bin10001110111111…
…10101100010000
3101110010210101200
420323332230100
5301341103013
622513431200
73500322540
oct1073765420
9343123350
10149941008
1177701998
124226b500
13250ab0b9
1415cb1320
15d26be73
hex8efeb10

149941008 has 120 divisors (see below), whose sum is σ = 504878400. Its totient is φ = 40580352.

The previous prime is 149940971. The next prime is 149941009. The reversal of 149941008 is 800149941.

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

It is not an unprimeable number, because it can be changed into a prime (149941009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15238 + ... + 23066.

It is an arithmetic number, because the mean of its divisors is an integer number (4207320).

Almost surely, 2149941008 is an apocalyptic number.

149941008 is a gapful number since it is divisible by the number (18) 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 149941008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252439200).

149941008 is an abundant number, since it is smaller than the sum of its proper divisors (354937392).

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

149941008 is a wasteful number, since it uses less digits than its factorization.

149941008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7869 (or 7860 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 149941008 is about 12245.0401387664. The cubic root of 149941008 is about 531.2596217312.

The spelling of 149941008 in words is "one hundred forty-nine million, nine hundred forty-one thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 7829 9576 15658 19152 23487 31316 46974 54803 62632 70461 93948 109606 125264 140922 148751 164409 187896 219212 281844 297502 328818 375792 438424 446253 493227 563688 595004 657636 876848 892506 986454 1041257 1127376 1190008 1315272 1338759 1785012 1972908 2082514 2380016 2630544 2677518 3123771 3570024 3945816 4165028 5355036 6247542 7140048 7891632 8330056 9371313 10710072 12495084 16660112 18742626 21420144 24990168 37485252 49980336 74970504 149941008