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30186680 = 2352953491
BaseRepresentation
bin111001100100…
…1110010111000
32002210122100012
41303021302320
530211433210
62555001052
7514403546
oct163116270
962718305
1030186680
1116048777
12a139188
13633bc54
14401ad96
1529b4305
hex1cc9cb8

30186680 has 64 divisors (see below), whose sum is σ = 71733600. Its totient is φ = 11415040.

The previous prime is 30186671. The next prime is 30186683. The reversal of 30186680 is 8668103.

It is a super-2 number, since 2×301866802 = 1822471298844800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30186683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61235 + ... + 61725.

Almost surely, 230186680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30186680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35866800).

30186680 is an abundant number, since it is smaller than the sum of its proper divisors (41546920).

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

30186680 is a wasteful number, since it uses less digits than its factorization.

30186680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 30186680 is about 5494.2406208684. The cubic root of 30186680 is about 311.3664274142.

The spelling of 30186680 in words is "thirty million, one hundred eighty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 53 58 106 116 145 212 232 265 290 424 491 530 580 982 1060 1160 1537 1964 2120 2455 3074 3928 4910 6148 7685 9820 12296 14239 15370 19640 26023 28478 30740 52046 56956 61480 71195 104092 113912 130115 142390 208184 260230 284780 520460 569560 754667 1040920 1509334 3018668 3773335 6037336 7546670 15093340 30186680