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5418920 = 2351317613
BaseRepresentation
bin10100101010111110101000
3101012022100202
4110222332220
52341401140
6312051332
764026413
oct24527650
911168322
105418920
113071351
121993b48
131179680
14a10b7a
15720915
hex52afa8

5418920 has 64 divisors (see below), whose sum is σ = 13925520. Its totient is φ = 1880064.

The previous prime is 5418913. The next prime is 5418947. The reversal of 5418920 is 298145.

It can be written as a sum of positive squares in 8 ways, for example, as 481636 + 4937284 = 694^2 + 2222^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 8534 + ... + 9146.

Almost surely, 25418920 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 5418920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6962760).

5418920 is an abundant number, since it is smaller than the sum of its proper divisors (8506600).

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

5418920 is a wasteful number, since it uses less digits than its factorization.

5418920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 5418920 is about 2327.8573839477. The cubic root of 5418920 is about 175.6457232926.

The spelling of 5418920 in words is "five million, four hundred eighteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 613 680 884 1105 1226 1768 2210 2452 3065 4420 4904 6130 7969 8840 10421 12260 15938 20842 24520 31876 39845 41684 52105 63752 79690 83368 104210 135473 159380 208420 270946 318760 416840 541892 677365 1083784 1354730 2709460 5418920