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104772590 = 25132367523
BaseRepresentation
bin1100011111010…
…11001111101110
321022010222222022
412033223033232
5203310210330
614221350142
72411360306
oct617531756
9238128868
10104772590
115416121a
122b108352
1318924c20
14dcb4606
1592e8ae5
hex63eb3ee

104772590 has 64 divisors (see below), whose sum is σ = 215502336. Its totient is φ = 36381312.

The previous prime is 104772557. The next prime is 104772599. The reversal of 104772590 is 95277401.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 104772590.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104772599) 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, 200069 + ... + 200591.

It is an arithmetic number, because the mean of its divisors is an integer number (3367224).

Almost surely, 2104772590 is an apocalyptic number.

104772590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104772590 is an abundant number, since it is smaller than the sum of its proper divisors (110729746).

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

104772590 is a wasteful number, since it uses less digits than its factorization.

104772590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633.

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 104772590 is about 10235.8482794539. The cubic root of 104772590 is about 471.4285643010.

It can be divided in two parts, 1047 and 72590, that added together give a palindrome (73637).

The spelling of 104772590 in words is "one hundred four million, seven hundred seventy-two thousand, five hundred ninety".

Divisors: 1 2 5 10 13 23 26 46 65 67 115 130 134 230 299 335 523 598 670 871 1046 1495 1541 1742 2615 2990 3082 4355 5230 6799 7705 8710 12029 13598 15410 20033 24058 33995 35041 40066 60145 67990 70082 100165 120290 156377 175205 200330 312754 350410 455533 781885 805943 911066 1563770 1611886 2277665 4029715 4555330 8059430 10477259 20954518 52386295 104772590