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1053594990 = 232572696217
BaseRepresentation
bin111110110011001…
…001010101101110
32201102112011121200
4332303021111232
54124210014430
6252314110330
735052260340
oct7663112556
92642464550
101053594990
114a07aa568
12254a1b3a6
1313a3839b6
149dcdd290
156276b460
hex3ecc956e

1053594990 has 96 divisors (see below), whose sum is σ = 3142825920. Its totient is φ = 239887872.

The previous prime is 1053594979. The next prime is 1053594991. The reversal of 1053594990 is 994953501.

It is a happy number.

1053594990 is a `hidden beast` number, since 1 + 0 + 53 + 594 + 9 + 9 + 0 = 666.

It is a super-2 number, since 2×10535949902 = 2220124805906200200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053594991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166362 + ... + 172578.

It is an arithmetic number, because the mean of its divisors is an integer number (32737770).

Almost surely, 21053594990 is an apocalyptic number.

1053594990 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 1053594990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571412960).

1053594990 is an abundant number, since it is smaller than the sum of its proper divisors (2089230930).

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

1053594990 is a wasteful number, since it uses less digits than its factorization.

1053594990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6506 (or 6503 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 1053594990 is about 32459.1279919840. The cubic root of 1053594990 is about 1017.5550147637. Note that the first 3 decimals are identical.

The spelling of 1053594990 in words is "one billion, fifty-three million, five hundred ninety-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 269 315 538 630 807 1345 1614 1883 2421 2690 3766 4035 4842 5649 6217 8070 9415 11298 12105 12434 16947 18651 18830 24210 28245 31085 33894 37302 43519 55953 56490 62170 84735 87038 93255 111906 130557 169470 186510 217595 261114 279765 391671 435190 559530 652785 783342 1305570 1672373 1958355 3344746 3916710 5017119 8361865 10034238 11706611 15051357 16723730 23413222 25085595 30102714 35119833 50171190 58533055 70239666 75256785 105359499 117066110 150513570 175599165 210718998 351198330 526797495 1053594990