Search a number
-
+
10400740 = 2257210613
BaseRepresentation
bin100111101011…
…001111100100
3201120102010121
4213223033210
510130310430
61010531324
7154255600
oct47531744
921512117
1010400740
115964259
123596b44
1322020ac
14154a500
15da6a7a
hex9eb3e4

10400740 has 36 divisors (see below), whose sum is σ = 25409916. Its totient is φ = 3565632.

The previous prime is 10400713. The next prime is 10400743. The reversal of 10400740 is 4700401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8156736 + 2244004 = 2856^2 + 1498^2 .

It is not an unprimeable number, because it can be changed into a prime (10400743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4327 + ... + 6286.

It is an arithmetic number, because the mean of its divisors is an integer number (705831).

Almost surely, 210400740 is an apocalyptic number.

10400740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400740 is an abundant number, since it is smaller than the sum of its proper divisors (15009176).

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

10400740 is a wasteful number, since it uses less digits than its factorization.

10400740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10636 (or 10627 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 10400740 is about 3225.0178294081. The cubic root of 10400740 is about 218.2837536095.

The spelling of 10400740 in words is "ten million, four hundred thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 10613 21226 42452 53065 74291 106130 148582 212260 297164 371455 520037 742910 1040074 1485820 2080148 2600185 5200370 10400740