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30672630 = 23253761151
BaseRepresentation
bin111010100000…
…0011011110110
32010201022221100
41311000123312
530323011010
63013230530
7521466402
oct165003366
963638840
1030672630
111634a88a
12a332446
13647c1b1
144106102
152a5d2c0
hex1d406f6

30672630 has 96 divisors (see below), whose sum is σ = 83798208. Its totient is φ = 7776000.

The previous prime is 30672613. The next prime is 30672643. The reversal of 30672630 is 3627603.

It is a super-2 number, since 2×306726302 = 1881620462233800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30672594 and 30672603.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 203055 + ... + 203205.

It is an arithmetic number, because the mean of its divisors is an integer number (872898).

Almost surely, 230672630 is an apocalyptic number.

30672630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30672630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41899104).

30672630 is an abundant number, since it is smaller than the sum of its proper divisors (53125578).

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

30672630 is a wasteful number, since it uses less digits than its factorization.

30672630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 30672630 is about 5538.2876415008. The cubic root of 30672630 is about 313.0283499382.

The spelling of 30672630 in words is "thirty million, six hundred seventy-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 61 74 90 111 122 151 183 185 222 302 305 333 366 370 453 549 555 610 666 755 906 915 1098 1110 1359 1510 1665 1830 2257 2265 2718 2745 3330 4514 4530 5490 5587 6771 6795 9211 11174 11285 13542 13590 16761 18422 20313 22570 27633 27935 33522 33855 40626 46055 50283 55266 55870 67710 82899 83805 92110 100566 101565 138165 165798 167610 203130 251415 276330 340807 414495 502830 681614 828990 1022421 1704035 2044842 3067263 3408070 5112105 6134526 10224210 15336315 30672630