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1053114552 = 2332715713309
BaseRepresentation
bin111110110001010…
…100000010111000
32201101121202120200
4332301110002320
54124044131202
6252255522200
735045216550
oct7661240270
92641552520
101053114552
114a0501606
12254829360
1313a246109
149dc16160
15626c3e1c
hex3ec540b8

1053114552 has 96 divisors (see below), whose sum is σ = 3280648800. Its totient is φ = 298950912.

The previous prime is 1053114527. The next prime is 1053114581. The reversal of 1053114552 is 2554113501.

1053114552 is a `hidden beast` number, since 105 + 3 + 1 + 1 + 4 + 552 = 666.

It is a super-2 number, since 2×10531145522 = 2218100519268321408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72474 + ... + 85782.

It is an arithmetic number, because the mean of its divisors is an integer number (34173425).

Almost surely, 21053114552 is an apocalyptic number.

1053114552 is a gapful number since it is divisible by the number (12) 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 1053114552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640324400).

1053114552 is an abundant number, since it is smaller than the sum of its proper divisors (2227534248).

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

1053114552 is a wasteful number, since it uses less digits than its factorization.

1053114552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13485 (or 13478 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1053114552 is about 32451.7264871994. The cubic root of 1053114552 is about 1017.4003233095.

The spelling of 1053114552 in words is "one billion, fifty-three million, one hundred fourteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 157 168 252 314 471 504 628 942 1099 1256 1413 1884 2198 2826 3297 3768 4396 5652 6594 8792 9891 11304 13188 13309 19782 26376 26618 39564 39927 53236 79128 79854 93163 106472 119781 159708 186326 239562 279489 319416 372652 479124 558978 745304 838467 958248 1117956 1676934 2089513 2235912 3353868 4179026 6268539 6707736 8358052 12537078 14626591 16716104 18805617 25074156 29253182 37611234 43879773 50148312 58506364 75222468 87759546 117012728 131639319 150444936 175519092 263278638 351038184 526557276 1053114552