Search a number
-
+
10203172440 = 2335431977359
BaseRepresentation
bin10011000000010100…
…00000111001011000
3222100002001212022120
421200022000321120
5131344003004230
64404241221240
7510562351266
oct114012007130
928302055276
1010203172440
11436647451a
121b89031820
13c67b15756
146cb12d436
153eab42310
hex260280e58

10203172440 has 64 divisors (see below), whose sum is σ = 31321382400. Its totient is φ = 2657569152.

The previous prime is 10203172433. The next prime is 10203172453. The reversal of 10203172440 is 4427130201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10203172440.

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, 983520 + ... + 993839.

It is an arithmetic number, because the mean of its divisors is an integer number (489396600).

Almost surely, 210203172440 is an apocalyptic number.

10203172440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10203172440 is an abundant number, since it is smaller than the sum of its proper divisors (21118209960).

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

10203172440 is a wasteful number, since it uses less digits than its factorization.

10203172440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977416 (or 1977412 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

It can be divided in two parts, 102031 and 72440, that added together give a palindrome (174471).

The spelling of 10203172440 in words is "ten billion, two hundred three million, one hundred seventy-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 1977359 3954718 5932077 7909436 9886795 11864154 15818872 19773590 23728308 29660385 39547180 47456616 59320770 79094360 85026437 118641540 170052874 237283080 255079311 340105748 425132185 510158622 680211496 850264370 1020317244 1275396555 1700528740 2040634488 2550793110 3401057480 5101586220 10203172440