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3190103872 = 26109557821
BaseRepresentation
bin1011111000100101…
…0001111101000000
322020022202001211021
42332021101331000
523013131310442
61244314555224
7142024302244
oct27611217500
98208661737
103190103872
11139780428a
12750438b14
133babb5337
14223970424
1513a0e5e67
hexbe251f40

3190103872 has 56 divisors (see below), whose sum is σ = 6407703720. Its totient is φ = 1575659520.

The previous prime is 3190103837. The next prime is 3190103879. The reversal of 3190103872 is 2783010913.

It can be written as a sum of positive squares in 4 ways, for example, as 56791296 + 3133312576 = 7536^2 + 55976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3190103879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3885222 + ... + 3886042.

Almost surely, 23190103872 is an apocalyptic number.

3190103872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3190103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203851860).

3190103872 is an abundant number, since it is smaller than the sum of its proper divisors (3217599848).

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

3190103872 is a wasteful number, since it uses less digits than its factorization.

3190103872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 3190103872 is about 56481.0045236449. The cubic root of 3190103872 is about 1472.0919621973.

The spelling of 3190103872 in words is "three billion, one hundred ninety million, one hundred three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 109 218 436 557 821 872 1114 1642 1744 2228 3284 3488 4456 6568 6976 8912 13136 17824 26272 35648 52544 60713 89489 121426 178978 242852 357956 457297 485704 715912 914594 971408 1431824 1829188 1942816 2863648 3658376 3885632 5727296 7316752 14633504 29267008 49845373 99690746 199381492 398762984 797525968 1595051936 3190103872