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149914674 = 232713194817
BaseRepresentation
bin10001110111110…
…00010000110010
3101110002110021100
420323320100302
5301334232144
622513105230
73500153010
oct1073702062
9343073240
10149914674
1177694128
1242258216
132509c110
1415ca58b0
15d264269
hex8ef8432

149914674 has 96 divisors (see below), whose sum is σ = 420900480. Its totient is φ = 37449216.

The previous prime is 149914673. The next prime is 149914703. The reversal of 149914674 is 476419941.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (149914673) 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 47 ways as a sum of consecutive naturals, for example, 28714 + ... + 33530.

It is an arithmetic number, because the mean of its divisors is an integer number (4384380).

Almost surely, 2149914674 is an apocalyptic number.

149914674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149914674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210450240).

149914674 is an abundant number, since it is smaller than the sum of its proper divisors (270985806).

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

149914674 is a wasteful number, since it uses less digits than its factorization.

149914674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 4861 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 149914674 is about 12243.9647990347. The cubic root of 149914674 is about 531.2285183655.

The spelling of 149914674 in words is "one hundred forty-nine million, nine hundred fourteen thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 38 39 42 57 63 78 91 114 117 126 133 171 182 234 247 266 273 342 399 494 546 741 798 819 1197 1482 1638 1729 2223 2394 3458 4446 4817 5187 9634 10374 14451 15561 28902 31122 33719 43353 62621 67438 86706 91523 101157 125242 183046 187863 202314 274569 303471 375726 438347 549138 563589 606942 640661 823707 876694 1127178 1189799 1281322 1315041 1647414 1921983 2379598 2630082 3569397 3843966 3945123 5765949 7138794 7890246 8328593 10708191 11531898 16657186 21416382 24985779 49971558 74957337 149914674