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153568140 = 2235111713687
BaseRepresentation
bin10010010011101…
…00001110001100
3101200222001212220
421021310032030
5303303140030
623123255340
73543210345
oct1111641614
9350861786
10153568140
117975a020
124351a550
1325a7b02b
14165770cc
15d736a10
hex927438c

153568140 has 96 divisors (see below), whose sum is σ = 496710144. Its totient is φ = 35036160.

The previous prime is 153568139. The next prime is 153568187. The reversal of 153568140 is 41865351.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4377 + ... + 18063.

It is an arithmetic number, because the mean of its divisors is an integer number (5174064).

Almost surely, 2153568140 is an apocalyptic number.

153568140 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 153568140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248355072).

153568140 is an abundant number, since it is smaller than the sum of its proper divisors (343142004).

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

153568140 is a wasteful number, since it uses less digits than its factorization.

153568140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13727 (or 13725 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 153568140 is about 12392.2612948566. The cubic root of 153568140 is about 535.5093294952.

The spelling of 153568140 in words is "one hundred fifty-three million, five hundred sixty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 13687 27374 41061 54748 68435 82122 136870 150557 164244 205305 232679 273740 301114 410610 451671 465358 602228 698037 752785 821220 903342 930716 1163395 1396074 1505570 1806684 2258355 2326790 2559469 2792148 3011140 3490185 4516710 4653580 5118938 6980370 7678407 9033420 10237876 12797345 13960740 15356814 25594690 30713628 38392035 51189380 76784070 153568140