Search a number
-
+
10408114700 = 2252107972721
BaseRepresentation
bin10011011000101111…
…10011101000001100
3222212100201000020122
421230113303220030
5132303434132300
64440442004112
7515631341504
oct115427635014
928770630218
1010408114700
114461122695
1220257a6638
13c9b410469
1470a43aa04
1540db25c85
hex26c5f3a0c

10408114700 has 36 divisors (see below), whose sum is σ = 22796712792. Its totient is φ = 4124332800.

The previous prime is 10408114699. The next prime is 10408114723. The reversal of 10408114700 is 741180401.

10408114700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10408114700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475661 + ... + 497060.

It is an arithmetic number, because the mean of its divisors is an integer number (633242022).

Almost surely, 210408114700 is an apocalyptic number.

10408114700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10408114700 is an abundant number, since it is smaller than the sum of its proper divisors (12388598092).

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

10408114700 is a wasteful number, since it uses less digits than its factorization.

10408114700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972842 (or 972835 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The spelling of 10408114700 in words is "ten billion, four hundred eight million, one hundred fourteen thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 2140 2675 5350 10700 972721 1945442 3890884 4863605 9727210 19454420 24318025 48636050 97272100 104081147 208162294 416324588 520405735 1040811470 2081622940 2602028675 5204057350 10408114700