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18796040 = 2354173157
BaseRepresentation
bin100011110110…
…0111000001000
31022100221022122
41013230320020
514302433130
61510510412
7315522644
oct107547010
938327278
1018796040
11a67881a
126365408
133b81423
1426d3c24
1519b42e5
hex11ece08

18796040 has 64 divisors (see below), whose sum is σ = 44195760. Its totient is φ = 7188480.

The previous prime is 18796039. The next prime is 18796049. The reversal of 18796040 is 4069781.

It can be written as a sum of positive squares in 8 ways, for example, as 2328676 + 16467364 = 1526^2 + 4058^2 .

It is a super-2 number, since 2×187960402 = 706582239363200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (18796049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119642 + ... + 119798.

Almost surely, 218796040 is an apocalyptic number.

18796040 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 18796040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22097880).

18796040 is an abundant number, since it is smaller than the sum of its proper divisors (25399720).

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

18796040 is a wasteful number, since it uses less digits than its factorization.

18796040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 18796040 is about 4335.4400007381. The cubic root of 18796040 is about 265.8819081208.

The spelling of 18796040 in words is "eighteen million, seven hundred ninety-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 73 82 146 157 164 205 292 314 328 365 410 584 628 730 785 820 1256 1460 1570 1640 2920 2993 3140 5986 6280 6437 11461 11972 12874 14965 22922 23944 25748 29930 32185 45844 51496 57305 59860 64370 91688 114610 119720 128740 229220 257480 458440 469901 939802 1879604 2349505 3759208 4699010 9398020 18796040