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149812320 = 2535744587
BaseRepresentation
bin10001110110111…
…11010001100000
3101102220020212110
420323133101200
5301322443240
622510555320
73466245420
oct1073372140
9342806773
10149812320
1177624239
1242208b40
1325064658
1415c7a480
15d243c80
hex8edf460

149812320 has 96 divisors (see below), whose sum is σ = 539336448. Its totient is φ = 34242048.

The previous prime is 149812303. The next prime is 149812337. The reversal of 149812320 is 23218941.

149812320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149812303) and next prime (149812337).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 18934 + ... + 25653.

It is an arithmetic number, because the mean of its divisors is an integer number (5618088).

Almost surely, 2149812320 is an apocalyptic number.

149812320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149812320 is an abundant number, since it is smaller than the sum of its proper divisors (389524128).

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

149812320 is a wasteful number, since it uses less digits than its factorization.

149812320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44612 (or 44604 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 149812320 is about 12239.7843118251. The cubic root of 149812320 is about 531.1075923715.

The spelling of 149812320 in words is "one hundred forty-nine million, eight hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 44587 89174 133761 178348 222935 267522 312109 356696 445870 535044 624218 668805 713392 891740 936327 1070088 1248436 1337610 1426784 1560545 1783480 1872654 2140176 2496872 2675220 3121090 3566960 3745308 4280352 4681635 4993744 5350440 6242180 7133920 7490616 9363270 9987488 10700880 12484360 14981232 18726540 21401760 24968720 29962464 37453080 49937440 74906160 149812320