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840672768 = 2931342101
BaseRepresentation
bin110010000110111…
…010011000000000
32011120212121020110
4302012322120000
53210203012033
6215230311320
726555413005
oct6206723000
92146777213
10840672768
113a15a0991
121b5658540
13105223a10
147d9158ac
154dc0d363
hex321ba600

840672768 has 80 divisors (see below), whose sum is σ = 2411939376. Its totient is φ = 258662400.

The previous prime is 840672761. The next prime is 840672773. The reversal of 840672768 is 867276048.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840672761) 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 7 ways as a sum of consecutive naturals, for example, 1083 + ... + 41018.

Almost surely, 2840672768 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 840672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205969688).

840672768 is an abundant number, since it is smaller than the sum of its proper divisors (1571266608).

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

840672768 is a wasteful number, since it uses less digits than its factorization.

840672768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42135 (or 42119 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 840672768 is about 28994.3575200417. The cubic root of 840672768 is about 943.7906267440.

The spelling of 840672768 in words is "eight hundred forty million, six hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6656 9984 19968 42101 84202 126303 168404 252606 336808 505212 547313 673616 1010424 1094626 1347232 1641939 2020848 2189252 2694464 3283878 4041696 4378504 5388928 6567756 8083392 8757008 10777856 13135512 16166784 17514016 21555712 26271024 32333568 35028032 52542048 64667136 70056064 105084096 140112128 210168192 280224256 420336384 840672768