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1107631104 = 21032912433
BaseRepresentation
bin100001000000101…
…0001110000000000
32212012012111020020
41002001101300000
54232023143404
6301524213440
736306465126
oct10201216000
92765174206
101107631104
11519257708
1226ab3a280
13148623228
14a7167916
1567391ed9
hex42051c00

1107631104 has 88 divisors (see below), whose sum is σ = 3054287760. Its totient is φ = 356450304.

The previous prime is 1107631103. The next prime is 1107631127. The reversal of 1107631104 is 4011367011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107631103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82872 + ... + 95304.

Almost surely, 21107631104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1107631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527143880).

1107631104 is an abundant number, since it is smaller than the sum of its proper divisors (1946656656).

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

1107631104 is a wasteful number, since it uses less digits than its factorization.

1107631104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12485 (or 12467 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 1107631104 is about 33281.0922897672. The cubic root of 1107631104 is about 1034.6617186618.

Adding to 1107631104 its reverse (4011367011), we get a palindrome (5118998115).

The spelling of 1107631104 in words is "one billion, one hundred seven million, six hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2784 3072 3712 5568 7424 11136 12433 14848 22272 24866 29696 37299 44544 49732 74598 89088 99464 149196 198928 298392 360557 397856 596784 721114 795712 1081671 1193568 1442228 1591424 2163342 2387136 2884456 3182848 4326684 4774272 5768912 6365696 8653368 9548544 11537824 12731392 17306736 19097088 23075648 34613472 38194176 46151296 69226944 92302592 138453888 184605184 276907776 369210368 553815552 1107631104