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1054400112 = 243317143573
BaseRepresentation
bin111110110110001…
…101111001110000
32201111001002001000
4332312031321300
54124411300422
6252343242000
735062152543
oct7666157160
92644032030
101054400112
114a11aa457
12255149300
1313a5a62bc
14a006c85a
1562879cac
hex3ed8de70

1054400112 has 80 divisors (see below), whose sum is σ = 3204571680. Its totient is φ = 330789888.

The previous prime is 1054400093. The next prime is 1054400141. The reversal of 1054400112 is 2110044501.

1054400112 is a `hidden beast` number, since 10 + 544 + 0 + 0 + 112 = 666.

It is a super-2 number, since 2×10544001122 = 2223519192371225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64443 + ... + 79130.

It is an arithmetic number, because the mean of its divisors is an integer number (40057146).

Almost surely, 21054400112 is an apocalyptic number.

1054400112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1054400112 is an abundant number, since it is smaller than the sum of its proper divisors (2150171568).

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

1054400112 is a wasteful number, since it uses less digits than its factorization.

1054400112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143607 (or 143595 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1054400112 is about 32471.5277127517. The cubic root of 1054400112 is about 1017.8141425887.

Adding to 1054400112 its reverse (2110044501), we get a palindrome (3164444613).

The spelling of 1054400112 in words is "one billion, fifty-four million, four hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 143573 287146 430719 574292 861438 1148584 1292157 1722876 2297168 2440741 2584314 3445752 3876471 4881482 5168628 6891504 7322223 7752942 9762964 10337256 14644446 15505884 19525928 20674512 21966669 29288892 31011768 39051856 43933338 58577784 62023536 65900007 87866676 117155568 131800014 175733352 263600028 351466704 527200056 1054400112