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795904240 = 245101137719
BaseRepresentation
bin101111011100001…
…000100011110000
32001110122010100211
4233130020203300
53112222413430
6210550553504
725503034345
oct5734104360
92043563324
10795904240
113792a36aa
121a2668894
13c8b7a871
14779c07cc
1549d1872a
hex2f7088f0

795904240 has 80 divisors (see below), whose sum is σ = 1885057920. Its totient is φ = 312473600.

The previous prime is 795904201. The next prime is 795904247. The reversal of 795904240 is 42409597.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 795904193 and 795904202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795904247) 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, 1106601 + ... + 1107319.

It is an arithmetic number, because the mean of its divisors is an integer number (23563224).

Almost surely, 2795904240 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 795904240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942528960).

795904240 is an abundant number, since it is smaller than the sum of its proper divisors (1089153680).

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

795904240 is a wasteful number, since it uses less digits than its factorization.

795904240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 795904240 is about 28211.7748466841. The cubic root of 795904240 is about 926.7308192450.

The spelling of 795904240 in words is "seven hundred ninety-five million, nine hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 137 202 274 404 505 548 685 719 808 1010 1096 1370 1438 1616 2020 2192 2740 2876 3595 4040 5480 5752 7190 8080 10960 11504 13837 14380 27674 28760 55348 57520 69185 72619 98503 110696 138370 145238 197006 221392 276740 290476 363095 394012 492515 553480 580952 726190 788024 985030 1106960 1161904 1452380 1576048 1970060 2904760 3940120 5809520 7880240 9948803 19897606 39795212 49744015 79590424 99488030 159180848 198976060 397952120 795904240