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149835320 = 23541211433
BaseRepresentation
bin10001110111001…
…00111000111000
3101102221102102022
420323210320320
5301324212240
622511254012
73466402445
oct1073447070
9342842368
10149835320
117763a548
124221a308
1325071c6b
1415c849cc
15d24a9b5
hex8ee4e38

149835320 has 64 divisors (see below), whose sum is σ = 347790240. Its totient is φ = 58060800.

The previous prime is 149835319. The next prime is 149835359. The reversal of 149835320 is 23538941.

149835320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345824 + ... + 346256.

Almost surely, 2149835320 is an apocalyptic number.

149835320 is a gapful number since it is divisible by the number (10) 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 149835320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173895120).

149835320 is an abundant number, since it is smaller than the sum of its proper divisors (197954920).

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

149835320 is a wasteful number, since it uses less digits than its factorization.

149835320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 149835320 is about 12240.7238348065. The cubic root of 149835320 is about 531.1347704869.

The spelling of 149835320 in words is "one hundred forty-nine million, eight hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 211 328 410 422 433 820 844 866 1055 1640 1688 1732 2110 2165 3464 4220 4330 8440 8651 8660 17302 17320 17753 34604 35506 43255 69208 71012 86510 88765 91363 142024 173020 177530 182726 346040 355060 365452 456815 710120 730904 913630 1827260 3654520 3745883 7491766 14983532 18729415 29967064 37458830 74917660 149835320