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30086640 = 243454643
BaseRepresentation
bin111001011000…
…1010111110000
32002121120010000
41302301113300
530200233030
62552510000
7513506103
oct162612760
962546100
1030086640
1115a8a5a1
12a0ab300
13630555c
143dd273a
152994860
hex1cb15f0

30086640 has 100 divisors (see below), whose sum is σ = 104517864. Its totient is φ = 8021376.

The previous prime is 30086521. The next prime is 30086657. The reversal of 30086640 is 4668003.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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 19 ways as a sum of consecutive naturals, for example, 4159 + ... + 8801.

Almost surely, 230086640 is an apocalyptic number.

30086640 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 30086640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52258932).

30086640 is an abundant number, since it is smaller than the sum of its proper divisors (74431224).

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

30086640 is a wasteful number, since it uses less digits than its factorization.

30086640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668 (or 4653 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30086640 is about 5485.1289866329. The cubic root of 30086640 is about 311.0220860168.

The spelling of 30086640 in words is "thirty million, eighty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 4643 6480 9286 13929 18572 23215 27858 37144 41787 46430 55716 69645 74288 83574 92860 111432 125361 139290 167148 185720 208935 222864 250722 278580 334296 371440 376083 417870 501444 557160 626805 668592 752166 835740 1002888 1114320 1253610 1504332 1671480 1880415 2005776 2507220 3008664 3342960 3760830 5014440 6017328 7521660 10028880 15043320 30086640