Search a number
-
+
10503683640 = 233359725633
BaseRepresentation
bin10011100100001000…
…10111111000111000
31000010000112102012000
421302010113320320
5133002420334030
64454134221000
7521201560242
oct116204277070
930100472160
1010503683640
114500067a8a
1220517b4760
13cb5162128
14718dd7092
15417202860
hex272117e38

10503683640 has 64 divisors (see below), whose sum is σ = 35012282400. Its totient is φ = 2800982016.

The previous prime is 10503683639. The next prime is 10503683719. The reversal of 10503683640 is 4638630501.

10503683640 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 3 + 6 + 8 + 3 + 640 = 666.

It is a super-2 number, since 2×105036836402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10503683595 and 10503683604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4861737 + ... + 4863896.

Almost surely, 210503683640 is an apocalyptic number.

10503683640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10503683640 is an abundant number, since it is smaller than the sum of its proper divisors (24508598760).

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

10503683640 is a wasteful number, since it uses less digits than its factorization.

10503683640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9725653 (or 9725643 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10503683640 in words is "ten billion, five hundred three million, six hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 9725633 19451266 29176899 38902532 48628165 58353798 77805064 87530697 97256330 116707596 145884495 175061394 194512660 233415192 262592091 291768990 350122788 389025320 437653485 525184182 583537980 700245576 875306970 1050368364 1167075960 1312960455 1750613940 2100736728 2625920910 3501227880 5251841820 10503683640