Search a number
-
+
8040660400 = 2452175311467
BaseRepresentation
bin1110111110100001…
…01011110110110000
3202202100220212111001
413133100223312300
5112431402113100
63405511131344
7403153325413
oct73720536660
922670825431
108040660400
11345681a193
121684973b54
139b1aab426
14563c4db7a
15320d7cd6a
hex1df42bdb0

8040660400 has 60 divisors (see below), whose sum is σ = 19330391992. Its totient is φ = 3214149120.

The previous prime is 8040660377. The next prime is 8040660401. The reversal of 8040660400 is 40660408.

It is not an unprimeable number, because it can be changed into a prime (8040660401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 695467 + ... + 706933.

Almost surely, 28040660400 is an apocalyptic number.

8040660400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8040660400 is an abundant number, since it is smaller than the sum of its proper divisors (11289731592).

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

8040660400 is a wasteful number, since it uses less digits than its factorization.

8040660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13238 (or 13227 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 8040660400 is about 89669.7295635489. The cubic root of 8040660400 is about 2003.3826423068.

The spelling of 8040660400 in words is "eight billion, forty million, six hundred sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1753 3506 7012 8765 11467 14024 17530 22934 28048 35060 43825 45868 57335 70120 87650 91736 114670 140240 175300 183472 229340 286675 350600 458680 573350 701200 917360 1146700 2293400 4586800 20101651 40203302 80406604 100508255 160813208 201016510 321626416 402033020 502541275 804066040 1005082550 1608132080 2010165100 4020330200 8040660400