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3125120460 = 22357114315731
BaseRepresentation
bin1011101001000101…
…1000110111001100
322001210110120100020
42322101120313030
522400012323320
61234034102140
7140305041240
oct27221306714
98053416306
103125120460
11136405a290
1273271a950
133aa5b2007
14219096420
1513455b940
hexba458dcc

3125120460 has 192 divisors, whose sum is σ = 11163930624. Its totient is φ = 634233600.

The previous prime is 3125120443. The next prime is 3125120497. The reversal of 3125120460 is 640215213.

3125120460 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31251204602 = 19532755779021223200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3125120460.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190795 + ... + 206525.

It is an arithmetic number, because the mean of its divisors is an integer number (58145472).

Almost surely, 23125120460 is an apocalyptic number.

3125120460 is a gapful number since it is divisible by the number (30) 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 3125120460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581965312).

3125120460 is an abundant number, since it is smaller than the sum of its proper divisors (8038810164).

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

3125120460 is a wasteful number, since it uses less digits than its factorization.

3125120460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15804 (or 15802 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3125120460 is about 55902.7768541063. The cubic root of 3125120460 is about 1462.0276543145.

Adding to 3125120460 its reverse (640215213), we get a palindrome (3765335673).

The spelling of 3125120460 in words is "three billion, one hundred twenty-five million, one hundred twenty thousand, four hundred sixty".