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1053266112 = 26335910331
BaseRepresentation
bin111110110001111…
…001000011000000
32201101220110111000
4332301321003000
54124114003422
6252303052000
735046420453
oct7661710300
92641813430
101053266112
114a05a5468
122548a1000
1313a29a0b2
149dc5549a
1562703cac
hex3ec790c0

1053266112 has 112 divisors (see below), whose sum is σ = 3149193600. Its totient is φ = 345104640.

The previous prime is 1053266101. The next prime is 1053266113. The reversal of 1053266112 is 2116623501.

1053266112 is a `hidden beast` number, since 10 + 5 + 32 + 6 + 611 + 2 = 666.

It is a super-2 number, since 2×10532661122 = 2218739005375193088, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1053266113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96787 + ... + 107117.

It is an arithmetic number, because the mean of its divisors is an integer number (28117800).

Almost surely, 21053266112 is an apocalyptic number.

1053266112 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 1053266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574596800).

1053266112 is an abundant number, since it is smaller than the sum of its proper divisors (2095927488).

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

1053266112 is a wasteful number, since it uses less digits than its factorization.

1053266112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10411 (or 10395 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1053266112 is about 32454.0615640015. The cubic root of 1053266112 is about 1017.4491276857.

Adding to 1053266112 its reverse (2116623501), we get a palindrome (3169889613).

The spelling of 1053266112 in words is "one billion, fifty-three million, two hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 144 177 192 216 236 288 354 432 472 531 576 708 864 944 1062 1416 1593 1728 1888 2124 2832 3186 3776 4248 5664 6372 8496 10331 11328 12744 16992 20662 25488 30993 33984 41324 50976 61986 82648 92979 101952 123972 165296 185958 247944 278937 330592 371916 495888 557874 609529 661184 743832 991776 1115748 1219058 1487664 1828587 1983552 2231496 2438116 2975328 3657174 4462992 4876232 5485761 5950656 7314348 8925984 9752464 10971522 14628696 16457283 17851968 19504928 21943044 29257392 32914566 39009856 43886088 58514784 65829132 87772176 117029568 131658264 175544352 263316528 351088704 526633056 1053266112