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149841076 = 22711247941
BaseRepresentation
bin10001110111001…
…10010010110100
3101102221201022111
420323212102310
5301324403301
622511340404
73466425310
oct1073462264
9342851274
10149841076
1177643900
1242221704
1325074778
1415c86b40
15d24c551
hex8ee64b4

149841076 has 72 divisors (see below), whose sum is σ = 336768768. Its totient is φ = 57076800.

The previous prime is 149841047. The next prime is 149841089. The reversal of 149841076 is 670148941.

149841076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158766 + ... + 159706.

It is an arithmetic number, because the mean of its divisors is an integer number (4677344).

Almost surely, 2149841076 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 149841076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168384384).

149841076 is an abundant number, since it is smaller than the sum of its proper divisors (186927692).

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

149841076 is a wasteful number, since it uses less digits than its factorization.

149841076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 149841076 is about 12240.9589493634. The cubic root of 149841076 is about 531.1415716705.

The spelling of 149841076 in words is "one hundred forty-nine million, eight hundred forty-one thousand, seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 121 154 188 242 308 329 484 517 658 847 941 1034 1316 1694 1882 2068 3388 3619 3764 5687 6587 7238 10351 11374 13174 14476 20702 22748 26348 39809 41404 44227 72457 79618 88454 113861 144914 159236 176908 227722 289828 309589 455444 486497 619178 797027 972994 1238356 1594054 1945988 3188108 3405479 5351467 6810958 10702934 13621916 21405868 37460269 74920538 149841076