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1102929984 = 263213147293
BaseRepresentation
bin100000110111101…
…0110000001000000
32211212100122111200
41001233112001000
54224322224414
6301235341200
736221515212
oct10157260100
92755318450
101102929984
11516636692
12269451800
131476684c0
14a66a25b2
1566c64109
hex41bd6040

1102929984 has 84 divisors (see below), whose sum is σ = 3404553516. Its totient is φ = 339360768.

The previous prime is 1102929983. The next prime is 1102930007. The reversal of 1102929984 is 4899292011.

It can be written as a sum of positive squares in 2 ways, for example, as 661929984 + 441000000 = 25728^2 + 21000^2 .

It is not an unprimeable number, because it can be changed into a prime (1102929983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66159 + ... + 81134.

It is an arithmetic number, because the mean of its divisors is an integer number (40530399).

Almost surely, 21102929984 is an apocalyptic number.

It is an amenable number.

1102929984 is an abundant number, since it is smaller than the sum of its proper divisors (2301623532).

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

1102929984 is a wasteful number, since it uses less digits than its factorization.

1102929984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147324 (or 147311 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1102929984 is about 33210.3896996106. The cubic root of 1102929984 is about 1033.1958375039.

The spelling of 1102929984 in words is "one billion, one hundred two million, nine hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 147293 294586 441879 589172 883758 1178344 1325637 1767516 1914809 2356688 2651274 3535032 3829618 4713376 5302548 5744427 7070064 7659236 9426752 10605096 11488854 14140128 15318472 17233281 21210192 22977708 28280256 30636944 34466562 42420384 45955416 61273888 68933124 84840768 91910832 122547776 137866248 183821664 275732496 367643328 551464992 1102929984