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30532680 = 23335171663
BaseRepresentation
bin111010001111…
…0010001001000
32010110012222000
41310132101020
530304021210
63010231000
7520344363
oct164362110
963405860
1030532680
1116264722
12a285460
136430599
1440ab0da
152a31ac0
hex1d1e448

30532680 has 128 divisors (see below), whose sum is σ = 107827200. Its totient is φ = 7658496.

The previous prime is 30532673. The next prime is 30532681. The reversal of 30532680 is 8623503.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30532681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17529 + ... + 19191.

It is an arithmetic number, because the mean of its divisors is an integer number (842400).

Almost surely, 230532680 is an apocalyptic number.

30532680 is a gapful number since it is divisible by the number (30) 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 30532680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53913600).

30532680 is an abundant number, since it is smaller than the sum of its proper divisors (77294520).

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

30532680 is a wasteful number, since it uses less digits than its factorization.

30532680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30532680 is about 5525.6384246528. The cubic root of 30532680 is about 312.5515392327.

The spelling of 30532680 in words is "thirty million, five hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1663 1836 2040 2295 3060 3326 3672 4590 4989 6120 6652 8315 9180 9978 13304 14967 16630 18360 19956 24945 28271 29934 33260 39912 44901 49890 56542 59868 66520 74835 84813 89802 99780 113084 119736 141355 149670 169626 179604 199560 224505 226168 254439 282710 299340 339252 359208 424065 449010 508878 565420 598680 678504 763317 848130 898020 1017756 1130840 1272195 1526634 1696260 1796040 2035512 2544390 3053268 3392520 3816585 5088780 6106536 7633170 10177560 15266340 30532680