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1023553164 = 2233110925243
BaseRepresentation
bin111101000000100…
…010111010001100
32122022222212222110
4331000202322030
54044012200124
6245322144020
734236026004
oct7500427214
92568885873
101023553164
11485850707
12246952010
1313409597a
1499d1d004
155ecd5029
hex3d022e8c

1023553164 has 48 divisors (see below), whose sum is σ = 2488048640. Its totient is φ = 327136320.

The previous prime is 1023553159. The next prime is 1023553207. The reversal of 1023553164 is 4613553201.

It is a super-2 number, since 2×10235531642 = 2095322159068821792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27927 + ... + 53169.

Almost surely, 21023553164 is an apocalyptic number.

It is an amenable number.

1023553164 is an abundant number, since it is smaller than the sum of its proper divisors (1464495476).

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

1023553164 is a wasteful number, since it uses less digits than its factorization.

1023553164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25390 (or 25388 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1023553164 is about 31993.0174256821. The cubic root of 1023553164 is about 1007.7902097102.

The spelling of 1023553164 in words is "one billion, twenty-three million, five hundred fifty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 31 62 93 109 124 186 218 327 372 436 654 1308 3379 6758 10137 13516 20274 25243 40548 50486 75729 100972 151458 302916 782533 1565066 2347599 2751487 3130132 4695198 5502974 8254461 9390396 11005948 16508922 33017844 85296097 170592194 255888291 341184388 511776582 1023553164