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1107989640 = 233255415689
BaseRepresentation
bin100001000001010…
…1001010010001000
32212012212201001100
41002002221102020
54232121132030
6301540021400
736312520332
oct10202512210
92765781040
101107989640
1151948201a
1226b091860
1314871a494
14a721c452
1567413360
hex420a9488

1107989640 has 96 divisors (see below), whose sum is σ = 3608256600. Its totient is φ = 294865920.

The previous prime is 1107989633. The next prime is 1107989669. The reversal of 1107989640 is 469897011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1050926724 + 57062916 = 32418^2 + 7554^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 191916 + ... + 197604.

Almost surely, 21107989640 is an apocalyptic number.

1107989640 is a gapful number since it is divisible by the number (10) 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 1107989640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804128300).

1107989640 is an abundant number, since it is smaller than the sum of its proper divisors (2500266960).

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

1107989640 is a wasteful number, since it uses less digits than its factorization.

1107989640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1107989640 is about 33286.4783358048. The cubic root of 1107989640 is about 1034.7733453135.

The spelling of 1107989640 in words is "one billion, one hundred seven million, nine hundred eighty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 541 1082 1623 2164 2705 3246 4328 4869 5410 5689 6492 8115 9738 10820 11378 12984 16230 17067 19476 21640 22756 24345 28445 32460 34134 38952 45512 48690 51201 56890 64920 68268 85335 97380 102402 113780 136536 170670 194760 204804 227560 256005 341340 409608 512010 682680 1024020 2048040 3077749 6155498 9233247 12310996 15388745 18466494 24621992 27699741 30777490 36932988 46166235 55399482 61554980 73865976 92332470 110798964 123109960 138498705 184664940 221597928 276997410 369329880 553994820 1107989640