Search a number
-
+
10104033440 = 255411540249
BaseRepresentation
bin10010110100011111…
…10101000010100000
3222002011112002011202
421122033311002200
5131143113032230
64350340300332
7505246603304
oct113217650240
928064462152
1010104033440
114315510966
121b5b9a16a8
13c50413b17
146bbcc3d04
153e20aca45
hex25a3f50a0

10104033440 has 48 divisors (see below), whose sum is σ = 24453009000. Its totient is φ = 3943034880.

The previous prime is 10104033413. The next prime is 10104033497. The reversal of 10104033440 is 4433040101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3332060176 + 6771973264 = 57724^2 + 82292^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 763565 + ... + 776684.

Almost surely, 210104033440 is an apocalyptic number.

10104033440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10104033440 is an abundant number, since it is smaller than the sum of its proper divisors (14348975560).

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

10104033440 is a wasteful number, since it uses less digits than its factorization.

10104033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540305 (or 1540297 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10104033440 its reverse (4433040101), we get a palindrome (14537073541).

The spelling of 10104033440 in words is "ten billion, one hundred four million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 1540249 3080498 6160996 7701245 12321992 15402490 24643984 30804980 49287968 61609960 63150209 123219920 126300418 246439840 252600836 315751045 505201672 631502090 1010403344 1263004180 2020806688 2526008360 5052016720 10104033440