Search a number
-
+
104052420 = 223254871187
BaseRepresentation
bin1100011001110…
…11011011000100
321020210102002100
412030323123010
5203114134140
614154112100
72402300553
oct614733304
9236712070
10104052420
115380a13a
122aa1b630
13187321a4
14db67d9a
159205530
hex633b6c4

104052420 has 72 divisors (see below), whose sum is σ = 316540224. Its totient is φ = 27667008.

The previous prime is 104052373. The next prime is 104052433. The reversal of 104052420 is 24250401.

It is a super-2 number, since 2×1040524202 = 21653812215712800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104052393 and 104052402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87067 + ... + 88253.

It is an arithmetic number, because the mean of its divisors is an integer number (4396392).

Almost surely, 2104052420 is an apocalyptic number.

104052420 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 104052420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158270112).

104052420 is an abundant number, since it is smaller than the sum of its proper divisors (212487804).

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

104052420 is a wasteful number, since it uses less digits than its factorization.

104052420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 104052420 is about 10200.6088053606. The cubic root of 104052420 is about 470.3459351476.

The spelling of 104052420 in words is "one hundred four million, fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 487 974 1187 1461 1948 2374 2435 2922 3561 4383 4748 4870 5844 5935 7122 7305 8766 9740 10683 11870 14244 14610 17532 17805 21366 21915 23740 29220 35610 42732 43830 53415 71220 87660 106830 213660 578069 1156138 1734207 2312276 2890345 3468414 5202621 5780690 6936828 8671035 10405242 11561380 17342070 20810484 26013105 34684140 52026210 104052420