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850680480 = 253513136327
BaseRepresentation
bin110010101101000…
…101101010100000
32012021201001020110
4302231011222200
53220233233410
6220225011320
730036444006
oct6255055240
92167631213
10850680480
113a7206921
121b8a83b40
13107318c40
1480d9ca76
154ea38720
hex32b45aa0

850680480 has 96 divisors (see below), whose sum is σ = 2885791104. Its totient is φ = 209396736.

The previous prime is 850680473. The next prime is 850680487. The reversal of 850680480 is 84086058.

It is an interprime number because it is at equal distance from previous prime (850680473) and next prime (850680487).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (850680487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61924 + ... + 74403.

It is an arithmetic number, because the mean of its divisors is an integer number (30060324).

Almost surely, 2850680480 is an apocalyptic number.

850680480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

850680480 is an abundant number, since it is smaller than the sum of its proper divisors (2035110624).

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

850680480 is a wasteful number, since it uses less digits than its factorization.

850680480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136358 (or 136350 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 850680480 is about 29166.4272752080. The cubic root of 850680480 is about 947.5209529320.

The spelling of 850680480 in words is "eight hundred fifty million, six hundred eighty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 136327 272654 408981 545308 681635 817962 1090616 1363270 1635924 1772251 2044905 2181232 2726540 3271848 3544502 4089810 4362464 5316753 5453080 6543696 7089004 8179620 8861255 10633506 10906160 13087392 14178008 16359240 17722510 21267012 21812320 26583765 28356016 32718480 35445020 42534024 53167530 56712032 65436960 70890040 85068048 106335060 141780080 170136096 212670120 283560160 425340240 850680480