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149150304 = 25321997281
BaseRepresentation
bin10001110001111…
…01101001100000
3101101122121202100
420320331221200
5301140302204
622444450400
73460520352
oct1070755140
9341577670
10149150304
1177211916
1241b49a00
1324b92224
1415b470d2
15d162a39
hex8e3da60

149150304 has 144 divisors (see below), whose sum is σ = 452677680. Its totient is φ = 46448640.

The previous prime is 149150303. The next prime is 149150311. The reversal of 149150304 is 403051941.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149150303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530644 + ... + 530924.

It is an arithmetic number, because the mean of its divisors is an integer number (3143595).

Almost surely, 2149150304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149150304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226338840).

149150304 is an abundant number, since it is smaller than the sum of its proper divisors (303527376).

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

149150304 is a wasteful number, since it uses less digits than its factorization.

149150304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 149150304 is about 12212.7107556021. The cubic root of 149150304 is about 530.3241211929.

The spelling of 149150304 in words is "one hundred forty-nine million, one hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 97 114 144 152 171 194 228 281 288 291 304 342 388 456 562 582 608 684 776 843 873 912 1124 1164 1368 1552 1686 1746 1824 1843 2248 2328 2529 2736 3104 3372 3492 3686 4496 4656 5058 5339 5472 5529 6744 6984 7372 8992 9312 10116 10678 11058 13488 13968 14744 16017 16587 20232 21356 22116 26976 27257 27936 29488 32034 33174 40464 42712 44232 48051 54514 58976 64068 66348 80928 81771 85424 88464 96102 109028 128136 132696 163542 170848 176928 192204 218056 245313 256272 265392 327084 384408 436112 490626 512544 517883 530784 654168 768816 872224 981252 1035766 1308336 1537632 1553649 1962504 2071532 2616672 3107298 3925008 4143064 4660947 6214596 7850016 8286128 9321894 12429192 16572256 18643788 24858384 37287576 49716768 74575152 149150304