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30992880 = 2435296173
BaseRepresentation
bin111011000111…
…0100111110000
32011022121020110
41312032213300
530413233010
63024141320
7524302152
oct166164760
964277213
1030992880
1116549456
12a467840
136561ba9
14418aad2
152ac3120
hex1d8e9f0

30992880 has 160 divisors (see below), whose sum is σ = 102404160. Its totient is φ = 7741440.

The previous prime is 30992873. The next prime is 30992893. The reversal of 30992880 is 8829903.

It is a super-2 number, since 2×309928802 = 1921117221388800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424524 + ... + 424596.

It is an arithmetic number, because the mean of its divisors is an integer number (640026).

Almost surely, 230992880 is an apocalyptic number.

30992880 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 30992880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51202080).

30992880 is an abundant number, since it is smaller than the sum of its proper divisors (71411280).

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

30992880 is a wasteful number, since it uses less digits than its factorization.

30992880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 30992880 is about 5567.1249312369. The cubic root of 30992880 is about 314.1140132576.

The spelling of 30992880 in words is "thirty million, nine hundred ninety-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 61 73 80 87 116 120 122 145 146 174 183 219 232 240 244 290 292 305 348 365 366 435 438 464 488 580 584 610 696 730 732 870 876 915 976 1095 1160 1168 1220 1392 1460 1464 1740 1752 1769 1830 2117 2190 2320 2440 2920 2928 3480 3504 3538 3660 4234 4380 4453 4880 5307 5840 6351 6960 7076 7320 8468 8760 8845 8906 10585 10614 12702 13359 14152 14640 16936 17520 17690 17812 21170 21228 22265 25404 26535 26718 28304 31755 33872 35380 35624 42340 42456 44530 50808 53070 53436 63510 66795 70760 71248 84680 84912 89060 101616 106140 106872 127020 129137 133590 141520 169360 178120 212280 213744 254040 258274 267180 356240 387411 424560 508080 516548 534360 645685 774822 1033096 1068720 1291370 1549644 1937055 2066192 2582740 3099288 3874110 5165480 6198576 7748220 10330960 15496440 30992880