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149140672 = 2659127311
BaseRepresentation
bin10001110001110…
…11010011000000
3101101122010112121
420320323103000
5301140000142
622444334024
73460450312
oct1070732300
9341563477
10149140672
117720565a
1241b44314
1324b8aa25
1415b437b2
15d15ec67
hex8e3b4c0

149140672 has 56 divisors (see below), whose sum is σ = 304312320. Its totient is φ = 72495360.

The previous prime is 149140639. The next prime is 149140687. The reversal of 149140672 is 276041941.

It is a super-3 number, since 3×1491406723 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479397 + ... + 479707.

Almost surely, 2149140672 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 149140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152156160).

149140672 is an abundant number, since it is smaller than the sum of its proper divisors (155171648).

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

149140672 is a wasteful number, since it uses less digits than its factorization.

149140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 149140672 is about 12212.3164059895. The cubic root of 149140672 is about 530.3127049866.

The spelling of 149140672 in words is "one hundred forty-nine million, one hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 59 64 118 127 236 254 311 472 508 622 944 1016 1244 1888 2032 2488 3776 4064 4976 7493 8128 9952 14986 18349 19904 29972 36698 39497 59944 73396 78994 119888 146792 157988 239776 293584 315976 479552 587168 631952 1174336 1263904 2330323 2527808 4660646 9321292 18642584 37285168 74570336 149140672