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1052642010 = 235725359229
BaseRepresentation
bin111110101111100…
…000101011011010
32201100201202101010
4332233200223122
54123434021020
6252241434350
735041211100
oct7657405332
92640652333
101052642010
114a0209582
1225463b9b6
1313a10bcc4
149db31c70
156262dde0
hex3ebe0ada

1052642010 has 192 divisors, whose sum is σ = 3058300800. Its totient is φ = 231049728.

The previous prime is 1052641999. The next prime is 1052642039. The reversal of 1052642010 is 102462501.

It is a super-2 number, since 2×10526420102 = 2216110402433680200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4596576 + ... + 4596804.

It is an arithmetic number, because the mean of its divisors is an integer number (15928650).

Almost surely, 21052642010 is an apocalyptic number.

1052642010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052642010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529150400).

1052642010 is an abundant number, since it is smaller than the sum of its proper divisors (2005658790).

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

1052642010 is a wasteful number, since it uses less digits than its factorization.

1052642010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1052642010 is about 32444.4449790715. Note that the first 3 decimals coincide. The cubic root of 1052642010 is about 1017.2481283090.

The spelling of 1052642010 in words is "one billion, fifty-two million, six hundred forty-two thousand, ten".