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153103680 = 2632553161
BaseRepresentation
bin10010010000000…
…10110101000000
3101200002110202200
421020002311000
5303143304210
623105313200
73536234262
oct1110026500
9350073680
10153103680
1179472074
1243335800
13259477c2
1416495b32
15d6940c0
hex9202d40

153103680 has 84 divisors (see below), whose sum is σ = 526622772. Its totient is φ = 40826880.

The previous prime is 153103667. The next prime is 153103721. The reversal of 153103680 is 86301351.

It can be written as a sum of positive squares in 2 ways, for example, as 79281216 + 73822464 = 8904^2 + 8592^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23701 + ... + 29460.

Almost surely, 2153103680 is an apocalyptic number.

153103680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153103680 is an abundant number, since it is smaller than the sum of its proper divisors (373519092).

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

153103680 is a wasteful number, since it uses less digits than its factorization.

153103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53184 (or 53171 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 153103680 is about 12373.5071826867. The cubic root of 153103680 is about 534.9689095975.

The spelling of 153103680 in words is "one hundred fifty-three million, one hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 53161 106322 159483 212644 265805 318966 425288 478449 531610 637932 797415 850576 956898 1063220 1275864 1594830 1701152 1913796 2126440 2392245 2551728 3189660 3402304 3827592 4252880 4784490 5103456 6379320 7655184 8505760 9568980 10206912 12758640 15310368 17011520 19137960 25517280 30620736 38275920 51034560 76551840 153103680