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30268992 = 2631367181
BaseRepresentation
bin111001101110…
…1111001000000
32002221211020210
41303131321000
530222101432
63000434120
7515165535
oct163357100
962854223
1030268992
11160a45a6
12a178940
13636a560
14403cd8c
1529cd8cc
hex1cdde40

30268992 has 112 divisors (see below), whose sum is σ = 88018112. Its totient is φ = 9123840.

The previous prime is 30268981. The next prime is 30269023. The reversal of 30268992 is 29986203.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 30268992.

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 15 ways as a sum of consecutive naturals, for example, 167142 + ... + 167322.

It is an arithmetic number, because the mean of its divisors is an integer number (785876).

Almost surely, 230268992 is an apocalyptic number.

30268992 is a gapful number since it is divisible by the number (32) 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 30268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44009056).

30268992 is an abundant number, since it is smaller than the sum of its proper divisors (57749120).

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

30268992 is a wasteful number, since it uses less digits than its factorization.

30268992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 30268992 is about 5501.7262745433. The cubic root of 30268992 is about 311.6491783236.

The spelling of 30268992 in words is "thirty million, two hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 67 78 96 104 134 156 181 192 201 208 268 312 362 402 416 536 543 624 724 804 832 871 1072 1086 1248 1448 1608 1742 2144 2172 2353 2496 2613 2896 3216 3484 4288 4344 4706 5226 5792 6432 6968 7059 8688 9412 10452 11584 12127 12864 13936 14118 17376 18824 20904 24254 27872 28236 34752 36381 37648 41808 48508 55744 56472 72762 75296 83616 97016 112944 145524 150592 157651 167232 194032 225888 291048 315302 388064 451776 472953 582096 630604 776128 945906 1164192 1261208 1891812 2328384 2522416 3783624 5044832 7567248 10089664 15134496 30268992