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23782990 = 2571167461
BaseRepresentation
bin101101010111…
…0011001001110
31122202022010111
41122232121032
522042023430
62205430234
7406103110
oct132563116
948668114
1023782990
1112474570
127b6b37a
134c0929a
1432313b0
15214bc2a
hex16ae64e

23782990 has 64 divisors (see below), whose sum is σ = 54286848. Its totient is φ = 7286400.

The previous prime is 23782981. The next prime is 23782991. The reversal of 23782990 is 9928732.

It is a super-2 number, since 2×237829902 = 1131261226680200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23782991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51360 + ... + 51820.

It is an arithmetic number, because the mean of its divisors is an integer number (848232).

Almost surely, 223782990 is an apocalyptic number.

23782990 is an abundant number, since it is smaller than the sum of its proper divisors (30503858).

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

23782990 is a wasteful number, since it uses less digits than its factorization.

23782990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553.

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 23782990 is about 4876.7807004211. The cubic root of 23782990 is about 287.5778843811.

The spelling of 23782990 in words is "twenty-three million, seven hundred eighty-two thousand, nine hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 35 55 67 70 77 110 134 154 335 385 461 469 670 737 770 922 938 1474 2305 2345 3227 3685 4610 4690 5071 5159 6454 7370 10142 10318 16135 25355 25795 30887 32270 35497 50710 51590 61774 70994 154435 177485 216209 308870 339757 354970 432418 679514 1081045 1698785 2162090 2378299 3397570 4756598 11891495 23782990