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110990970 = 232519471381
BaseRepresentation
bin1101001110110…
…01011001111010
321201211220222200
412213121121322
5211403202340
615002531030
72515256556
oct647313172
9251756880
10110990970
1157719182
1231206a76
1319cc143c
1410a52866
159b26330
hex69d967a

110990970 has 96 divisors (see below), whose sum is σ = 310452480. Its totient is φ = 27423360.

The previous prime is 110990947. The next prime is 110990981. The reversal of 110990970 is 79099011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79680 + ... + 81060.

It is an arithmetic number, because the mean of its divisors is an integer number (3233880).

Almost surely, 2110990970 is an apocalyptic number.

110990970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110990970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155226240).

110990970 is an abundant number, since it is smaller than the sum of its proper divisors (199461510).

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

110990970 is a wasteful number, since it uses less digits than its factorization.

110990970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 5103, while the sum is 36.

The square root of 110990970 is about 10535.2251993016. The cubic root of 110990970 is about 480.5765208139.

The spelling of 110990970 in words is "one hundred ten million, nine hundred ninety thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 47 57 90 94 95 114 141 171 190 235 282 285 342 423 470 570 705 846 855 893 1381 1410 1710 1786 2115 2679 2762 4143 4230 4465 5358 6905 8037 8286 8930 12429 13395 13810 16074 20715 24858 26239 26790 40185 41430 52478 62145 64907 78717 80370 124290 129814 131195 157434 194721 236151 262390 324535 389442 393585 472302 584163 649070 787170 973605 1168326 1180755 1233233 1947210 2361510 2466466 2920815 3699699 5841630 6166165 7399398 11099097 12332330 18498495 22198194 36996990 55495485 110990970