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30998240 = 2557132129
BaseRepresentation
bin111011000111…
…1111011100000
32011022212120222
41312033323200
530413420430
63024222212
7524323610
oct166177340
964285528
1030998240
1116552489
12a46a968
136564470
14418ca40
152ac49e5
hex1d8fee0

30998240 has 96 divisors (see below), whose sum is σ = 90175680. Its totient is φ = 9805824.

The previous prime is 30998203. The next prime is 30998263. The reversal of 30998240 is 4289903.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 30998240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13496 + ... + 15624.

It is an arithmetic number, because the mean of its divisors is an integer number (939330).

Almost surely, 230998240 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 30998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45087840).

30998240 is an abundant number, since it is smaller than the sum of its proper divisors (59177440).

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

30998240 is a wasteful number, since it uses less digits than its factorization.

30998240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 30998240 is about 5567.6063079208. The cubic root of 30998240 is about 314.1321201482.

The spelling of 30998240 in words is "thirty million, nine hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2129 2912 3640 4258 7280 8516 10645 14560 14903 17032 21290 27677 29806 34064 42580 55354 59612 68128 74515 85160 110708 119224 138385 149030 170320 193739 221416 238448 276770 298060 340640 387478 442832 476896 553540 596120 774956 885664 968695 1107080 1192240 1549912 1937390 2214160 2384480 3099824 3874780 4428320 6199648 7749560 15499120 30998240