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18968880 = 2435721613
BaseRepresentation
bin100100001011…
…1000100110000
31022200201102010
41020113010300
514324001010
61514322520
7320142600
oct110270460
938621363
1018968880
11a786667
126429440
133c11cb8
14273ac00
1519ea620
hex1217130

18968880 has 120 divisors (see below), whose sum is σ = 68446512. Its totient is φ = 4333056.

The previous prime is 18968861. The next prime is 18968881. The reversal of 18968880 is 8886981.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (18968881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10954 + ... + 12566.

Almost surely, 218968880 is an apocalyptic number.

18968880 is a gapful number since it is divisible by the number (10) 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 18968880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34223256).

18968880 is an abundant number, since it is smaller than the sum of its proper divisors (49477632).

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

18968880 is a wasteful number, since it uses less digits than its factorization.

18968880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 48.

The square root of 18968880 is about 4355.3277718215. The cubic root of 18968880 is about 266.6943998934.

The spelling of 18968880 in words is "eighteen million, nine hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1613 1680 1960 2352 2940 3226 3920 4839 5880 6452 8065 9678 11291 11760 12904 16130 19356 22582 24195 25808 32260 33873 38712 45164 48390 56455 64520 67746 77424 79037 90328 96780 112910 129040 135492 158074 169365 180656 193560 225820 237111 270984 316148 338730 387120 395185 451640 474222 541968 632296 677460 790370 903280 948444 1185555 1264592 1354920 1580740 1896888 2371110 2709840 3161480 3793776 4742220 6322960 9484440 18968880