[go: up one dir, main page]

Search a number
-
+
104742504 = 23331732803
BaseRepresentation
bin1100011111000…
…11111001101000
321022002110201000
412033203321220
5203303230004
614220555000
72411203506
oct617437150
9238073630
10104742504
1154140659
122b0b2a60
1318914319
14dca7676
1592dec39
hex63e3e68

104742504 has 64 divisors (see below), whose sum is σ = 292737600. Its totient is φ = 34699968.

The previous prime is 104742493. The next prime is 104742511. The reversal of 104742504 is 405247401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35967 + ... + 38769.

It is an arithmetic number, because the mean of its divisors is an integer number (4574025).

Almost surely, 2104742504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104742504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146368800).

104742504 is an abundant number, since it is smaller than the sum of its proper divisors (187995096).

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

104742504 is a wasteful number, since it uses less digits than its factorization.

104742504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 104742504 is about 10234.3785351139. The cubic root of 104742504 is about 471.3834355843.

Adding to 104742504 its reverse (405247401), we get a palindrome (509989905).

The spelling of 104742504 in words is "one hundred four million, seven hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 173 216 346 519 692 1038 1384 1557 2076 2803 3114 4152 4671 5606 6228 8409 9342 11212 12456 16818 18684 22424 25227 33636 37368 50454 67272 75681 100908 151362 201816 302724 484919 605448 969838 1454757 1939676 2909514 3879352 4364271 5819028 8728542 11638056 13092813 17457084 26185626 34914168 52371252 104742504