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18930560 = 275112689
BaseRepresentation
bin100100000110…
…1101110000000
31022121202211212
41020031232000
514321234220
61513425252
7316623065
oct110155600
938552755
1018930560
11a75a8a0
12640b228
133bca71c
14272ac6c
1519de0c5
hex120db80

18930560 has 64 divisors (see below), whose sum is σ = 49388400. Its totient is φ = 6881280.

The previous prime is 18930539. The next prime is 18930577. The reversal of 18930560 is 6503981.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×189305602 = 716732203827200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5696 + ... + 8384.

Almost surely, 218930560 is an apocalyptic number.

18930560 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 18930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24694200).

18930560 is an abundant number, since it is smaller than the sum of its proper divisors (30457840).

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

18930560 is a wasteful number, since it uses less digits than its factorization.

18930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 18930560 is about 4350.9263381492. The cubic root of 18930560 is about 266.5146911822.

The spelling of 18930560 in words is "eighteen million, nine hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 2689 3520 5378 7040 10756 13445 21512 26890 29579 43024 53780 59158 86048 107560 118316 147895 172096 215120 236632 295790 344192 430240 473264 591580 860480 946528 1183160 1720960 1893056 2366320 3786112 4732640 9465280 18930560