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153280680 = 23357251727
BaseRepresentation
bin10010010001011…
…10000010101000
3101200102110120020
421020232002220
5303214440210
623113200440
73540602310
oct1110560250
9350373506
10153280680
1179583053
1243400120
13259aa237
1416500440
15d6cb770
hex922e0a8

153280680 has 128 divisors (see below), whose sum is σ = 528353280. Its totient is φ = 34848000.

The previous prime is 153280679. The next prime is 153280727. The reversal of 153280680 is 86082351.

It is a happy number.

It is a super-2 number, since 2×1532806802 = 46989933722524800, which contains 22 as substring.

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, 210477 + ... + 211203.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2153280680 is an apocalyptic number.

153280680 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 153280680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

153280680 is an abundant number, since it is smaller than the sum of its proper divisors (375072600).

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

153280680 is a wasteful number, since it uses less digits than its factorization.

153280680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 153280680 is about 12380.6574946567. The cubic root of 153280680 is about 535.1749857042.

The spelling of 153280680 in words is "one hundred fifty-three million, two hundred eighty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 251 280 420 502 727 753 840 1004 1255 1454 1506 1757 2008 2181 2510 2908 3012 3514 3635 3765 4362 5020 5089 5271 5816 6024 7028 7270 7530 8724 8785 10040 10178 10542 10905 14056 14540 15060 15267 17448 17570 20356 21084 21810 25445 26355 29080 30120 30534 35140 40712 42168 43620 50890 52710 61068 70280 76335 87240 101780 105420 122136 152670 182477 203560 210840 305340 364954 547431 610680 729908 912385 1094862 1277339 1459816 1824770 2189724 2554678 2737155 3649540 3832017 4379448 5109356 5474310 6386695 7299080 7664034 10218712 10948620 12773390 15328068 19160085 21897240 25546780 30656136 38320170 51093560 76640340 153280680