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18880840 = 2351124783
BaseRepresentation
bin100100000000…
…1100101001000
31022112020122101
41020001211020
514313141330
61512403144
7316325116
oct110014510
938466571
1018880840
11a726500
1263a64b4
133bb0bc4
142716ab6
1519ce4ca
hex1201948

18880840 has 96 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 6638720.

The previous prime is 18880819. The next prime is 18880843. The reversal of 18880840 is 4808881.

It is a super-2 number, since 2×188808402 = 712972238211200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18880840.

It is not an unprimeable number, because it can be changed into a prime (18880843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227439 + ... + 227521.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 218880840 is an apocalyptic number.

18880840 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 18880840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

18880840 is an abundant number, since it is smaller than the sum of its proper divisors (29382200).

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

18880840 is a wasteful number, since it uses less digits than its factorization.

18880840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 37.

The square root of 18880840 is about 4345.2088557398. The cubic root of 18880840 is about 266.2811582335.

The spelling of 18880840 in words is "eighteen million, eight hundred eighty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 83 88 94 110 121 166 188 220 235 242 332 376 415 440 470 484 517 605 664 830 913 940 968 1034 1210 1660 1826 1880 2068 2420 2585 3320 3652 3901 4136 4565 4840 5170 5687 7304 7802 9130 10043 10340 11374 15604 18260 19505 20086 20680 22748 28435 31208 36520 39010 40172 42911 45496 50215 56870 78020 80344 85822 100430 113740 156040 171644 200860 214555 227480 343288 401720 429110 472021 858220 944042 1716440 1888084 2360105 3776168 4720210 9440420 18880840