Search a number
-
+
10402234704 = 2433157153371
BaseRepresentation
bin10011011000000010…
…11000000101010000
3222211221122021102000
421230001120011100
5132300433002304
64440111554000
7515530351611
oct115401300520
928757567360
1010402234704
114458876994
12202382b900
13c9a131c84
14709749c08
1540d363939
hex26c058150

10402234704 has 80 divisors (see below), whose sum is σ = 30048642240. Its totient is φ = 3445303680.

The previous prime is 10402234699. The next prime is 10402234727. The reversal of 10402234704 is 40743220401.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8862 + ... + 144509.

It is an arithmetic number, because the mean of its divisors is an integer number (375608028).

Almost surely, 210402234704 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 10402234704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15024321120).

10402234704 is an abundant number, since it is smaller than the sum of its proper divisors (19646407536).

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

10402234704 is a wasteful number, since it uses less digits than its factorization.

10402234704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153545 (or 153533 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 10402234704 in words is "ten billion, four hundred two million, two hundred thirty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 157 216 314 432 471 628 942 1256 1413 1884 2512 2826 3768 4239 5652 7536 8478 11304 16956 22608 33912 67824 153371 306742 460113 613484 920226 1226968 1380339 1840452 2453936 2760678 3680904 4141017 5521356 7361808 8282034 11042712 16564068 22085424 24079247 33128136 48158494 66256272 72237741 96316988 144475482 192633976 216713223 288950964 385267952 433426446 577901928 650139669 866852892 1155803856 1300279338 1733705784 2600558676 3467411568 5201117352 10402234704