Search a number
-
+
10232865540 = 2233518949751
BaseRepresentation
bin10011000011110110…
…10010001100000100
3222102010221102121000
421201323102030010
5131424103144130
64411221453300
7511402631142
oct114173221404
928363842530
1010232865540
114381205377
121b96b71230
13c71010b31
146d105c592
153ed55a260
hex261ed2304

10232865540 has 48 divisors (see below), whose sum is σ = 31835583360. Its totient is φ = 2728764000.

The previous prime is 10232865529. The next prime is 10232865553. The reversal of 10232865540 is 4556823201.

10232865540 is a `hidden beast` number, since 1 + 0 + 2 + 32 + 86 + 5 + 540 = 666.

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 = 10232865495 and 10232865504.

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, 9474336 + ... + 9475415.

It is an arithmetic number, because the mean of its divisors is an integer number (663241320).

Almost surely, 210232865540 is an apocalyptic number.

10232865540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10232865540 is an abundant number, since it is smaller than the sum of its proper divisors (21602717820).

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

10232865540 is a wasteful number, since it uses less digits than its factorization.

10232865540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18949769 (or 18949761 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10232865540 in words is "ten billion, two hundred thirty-two million, eight hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 18949751 37899502 56849253 75799004 94748755 113698506 170547759 189497510 227397012 284246265 341095518 378995020 511643277 568492530 682191036 852738795 1023286554 1136985060 1705477590 2046573108 2558216385 3410955180 5116432770 10232865540