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1649142960 = 243531221659
BaseRepresentation
bin110001001001011…
…1110110010110000
311020221011010211220
41202102332302300
511334140033320
6431350505040
755603324653
oct14222766260
94227133756
101649142960
11776997573
123a0365180
1320388104a
1411904789a
1599ba9e40
hex624becb0

1649142960 has 80 divisors (see below), whose sum is σ = 5277281280. Its totient is φ = 425583360.

The previous prime is 1649142893. The next prime is 1649142961. The reversal of 1649142960 is 692419461.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1649142961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103390 + ... + 118269.

It is an arithmetic number, because the mean of its divisors is an integer number (65966016).

Almost surely, 21649142960 is an apocalyptic number.

1649142960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1649142960 is an abundant number, since it is smaller than the sum of its proper divisors (3628138320).

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

1649142960 is a wasteful number, since it uses less digits than its factorization.

1649142960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221706 (or 221700 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 1649142960 is about 40609.6412197892. The cubic root of 1649142960 is about 1181.4611221423.

The spelling of 1649142960 in words is "one billion, six hundred forty-nine million, one hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 221659 443318 664977 886636 1108295 1329954 1773272 2216590 2659908 3324885 3546544 4433180 5319816 6649770 6871429 8866360 10639632 13299540 13742858 17732720 20614287 26599080 27485716 34357145 41228574 53198160 54971432 68714290 82457148 103071435 109942864 137428580 164914296 206142870 274857160 329828592 412285740 549714320 824571480 1649142960