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32030260900 = 225211216272
BaseRepresentation
bin11101110101001001…
…101111111010100100
310001200020120211202021
4131311021233322210
51011044221322100
622414155352524
72212511503561
oct356511577244
9101606524667
1032030260900
111264727a100
12625aa52744
133035ba6101
14179bd3d868
15c76eb7a1a
hex77526fea4

32030260900 has 81 divisors (see below), whose sum is σ = 76445775777. Its totient is φ = 11640208800.

The previous prime is 32030260877. The next prime is 32030260901. The reversal of 32030260900 is 906203023.

The square root of 32030260900 is 178970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11530893924 + 20499366976 = 107382^2 + 143176^2 .

It is a super-2 number, since 2×320302609002 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32030260901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19685887 + ... + 19687513.

Almost surely, 232030260900 is an apocalyptic number.

32030260900 is the 178970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32030260900

32030260900 is an abundant number, since it is smaller than the sum of its proper divisors (44415514877).

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

32030260900 is a wasteful number, since it uses less digits than its factorization.

32030260900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Multiplying 32030260900 by its sum of digits (25), we get a square (800756522500 = 8948502).

32030260900 divided by its sum of digits (25) gives a square (1281210436 = 357942).

Adding to 32030260900 its reverse (906203023), we get a palindrome (32936463923).

The spelling of 32030260900 in words is "thirty-two billion, thirty million, two hundred sixty thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1627 2420 3025 3254 6050 6508 8135 12100 16270 17897 32540 35794 40675 71588 81350 89485 162700 178970 196867 357940 393734 447425 787468 894850 984335 1789700 1968670 2647129 3937340 4921675 5294258 9843350 10588516 13235645 19686700 26471290 29118419 52942580 58236838 66178225 116473676 132356450 145592095 264712900 291184190 320302609 582368380 640605218 727960475 1281210436 1455920950 1601513045 2911841900 3203026090 6406052180 8007565225 16015130450 32030260900