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1306929104 = 241314294397
BaseRepresentation
bin100110111100110…
…0010011111010000
310101002012212200122
41031321202133100
510134033212404
6333404005412
744246466635
oct11571423720
93332185618
101306929104
116108001a8
12305830868
1317a9c2b40
14c580618c
1579b0d3be
hex4de627d0

1306929104 has 40 divisors (see below), whose sum is σ = 2729486760. Its totient is φ = 602638848.

The previous prime is 1306929103. The next prime is 1306929149. The reversal of 1306929104 is 4019296031.

It can be written as a sum of positive squares in 4 ways, for example, as 7182400 + 1299746704 = 2680^2 + 36052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306929101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295034 + ... + 299430.

It is an arithmetic number, because the mean of its divisors is an integer number (68237169).

Almost surely, 21306929104 is an apocalyptic number.

It is an amenable number.

1306929104 is an abundant number, since it is smaller than the sum of its proper divisors (1422557656).

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

1306929104 is a wasteful number, since it uses less digits than its factorization.

1306929104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 1306929104 is about 36151.4744374279. The cubic root of 1306929104 is about 1093.3285185524.

The spelling of 1306929104 in words is "one billion, three hundred six million, nine hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 1429 2858 4397 5716 8794 11432 17588 18577 22864 35176 37154 57161 70352 74308 114322 148616 228644 297232 457288 914576 6283313 12566626 25133252 50266504 81683069 100533008 163366138 326732276 653464552 1306929104