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1052464260 = 2235313741373
BaseRepresentation
bin111110101110110…
…101010010000100
32201100101201112210
4332232311102010
54123412324020
6252233543420
735036540631
oct7656652204
92640351483
101052464260
114a00a7a81
12254574b70
1313a079123
149dac7188
15625e63e0
hex3ebb5484

1052464260 has 192 divisors, whose sum is σ = 3208955904. Its totient is φ = 257126400.

The previous prime is 1052464247. The next prime is 1052464313. The reversal of 1052464260 is 624642501.

1052464260 is a nontrivial binomial coefficient, being equal to C(45880, 2).

It is a super-2 number, since 2×10524642602 = 2215362037154695200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2821434 + ... + 2821806.

It is an arithmetic number, because the mean of its divisors is an integer number (16713312).

Almost surely, 21052464260 is an apocalyptic number.

1052464260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1052464260 is the 45879-th triangular number and also the 22940-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052464260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604477952).

1052464260 is an abundant number, since it is smaller than the sum of its proper divisors (2156491644).

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

1052464260 is a wasteful number, since it uses less digits than its factorization.

1052464260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1052464260 is about 32441.7055655217. The cubic root of 1052464260 is about 1017.1908672992.

The spelling of 1052464260 in words is "one billion, fifty-two million, four hundred sixty-four thousand, two hundred sixty".