Search a number
-
+
807413400 = 233352149521
BaseRepresentation
bin110000001000000…
…010011010011000
32002021021211222000
4300020002122120
53123144212100
6212041401000
726002620633
oct6010023230
92067254860
10807413400
11384844702
121a6499160
13cb37a311
1479338c1a
154ad3d900
hex30202698

807413400 has 96 divisors (see below), whose sum is σ = 2781109200. Its totient is φ = 215308800.

The previous prime is 807413359. The next prime is 807413401. The reversal of 807413400 is 4314708.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807413401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69361 + ... + 80160.

Almost surely, 2807413400 is an apocalyptic number.

It is an amenable number.

807413400 is an abundant number, since it is smaller than the sum of its proper divisors (1973695800).

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

807413400 is a wasteful number, since it uses less digits than its factorization.

807413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149546 (or 149531 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 807413400 is about 28415.0206756919. The cubic root of 807413400 is about 931.1764508074.

The spelling of 807413400 in words is "eight hundred seven million, four hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 149521 299042 448563 598084 747605 897126 1196168 1345689 1495210 1794252 2242815 2691378 2990420 3588504 3738025 4037067 4485630 5382756 5980840 6728445 7476050 8074134 8971260 10765512 11214075 13456890 14952100 16148268 17942520 20185335 22428150 26913780 29904200 32296536 33642225 40370670 44856300 53827560 67284450 80741340 89712600 100926675 134568900 161482680 201853350 269137800 403706700 807413400