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3164420560 = 245737152723
BaseRepresentation
bin1011110010011101…
…0011100111010000
322011112102012221111
42330213103213100
522440042424220
61242000303104
7141263062630
oct27447234720
98145365844
103164420560
111384262004
12743911a94
133b5792102
142203a66c0
15137c2115a
hexbc9d39d0

3164420560 has 80 divisors (see below), whose sum is σ = 8635625856. Its totient is φ = 1055614464.

The previous prime is 3164420557. The next prime is 3164420587. The reversal of 3164420560 is 650244613.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55642 + ... + 97081.

Almost surely, 23164420560 is an apocalyptic number.

It is an amenable number.

3164420560 is an abundant number, since it is smaller than the sum of its proper divisors (5471205296).

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

3164420560 is a wasteful number, since it uses less digits than its factorization.

3164420560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152780 (or 152774 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 3164420560 is about 56253.1826655168. The cubic root of 3164420560 is about 1468.1307414239.

The spelling of 3164420560 in words is "three billion, one hundred sixty-four million, four hundred twenty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 518 560 592 740 1036 1295 1480 2072 2590 2960 4144 5180 10360 20720 152723 305446 610892 763615 1069061 1221784 1527230 2138122 2443568 3054460 4276244 5345305 5650751 6108920 8552488 10690610 11301502 12217840 17104976 21381220 22603004 28253755 39555257 42762440 45206008 56507510 79110514 85524880 90412016 113015020 158221028 197776285 226030040 316442056 395552570 452060080 632884112 791105140 1582210280 3164420560