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1107492864 = 216343131
BaseRepresentation
bin100001000000011…
…0000000000000000
32212011221110121020
41002000300000000
54232004232424
6301521225440
736305351112
oct10200600000
92764843536
101107492864
11519172865
1226aa92280
131485a532a
14a712d3b2
1567366079
hex42030000

1107492864 has 136 divisors (see below), whose sum is σ = 3045041472. Its totient is φ = 357826560.

The previous prime is 1107492857. The next prime is 1107492871. The reversal of 1107492864 is 4682947011.

It is an interprime number because it is at equal distance from previous prime (1107492857) and next prime (1107492871).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8454079 + ... + 8454209.

Almost surely, 21107492864 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 1107492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522520736).

1107492864 is an abundant number, since it is smaller than the sum of its proper divisors (1937548608).

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

1107492864 is an frugal number, since it uses more digits than its factorization.

1107492864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 1107492864 is about 33279.0153700496. The cubic root of 1107492864 is about 1034.6186725651.

The spelling of 1107492864 in words is "one billion, one hundred seven million, four hundred ninety-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 131 172 192 256 258 262 344 384 393 512 516 524 688 768 786 1024 1032 1048 1376 1536 1572 2048 2064 2096 2752 3072 3144 4096 4128 4192 5504 5633 6144 6288 8192 8256 8384 11008 11266 12288 12576 16384 16512 16768 16899 22016 22532 24576 25152 32768 33024 33536 33798 44032 45064 49152 50304 65536 66048 67072 67596 88064 90128 98304 100608 132096 134144 135192 176128 180256 196608 201216 264192 268288 270384 352256 360512 402432 528384 536576 540768 704512 721024 804864 1056768 1073152 1081536 1409024 1442048 1609728 2113536 2146304 2163072 2818048 2884096 3219456 4227072 4292608 4326144 5768192 6438912 8454144 8585216 8652288 11536384 12877824 17304576 23072768 25755648 34609152 46145536 69218304 92291072 138436608 184582144 276873216 369164288 553746432 1107492864