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2720160768 = 21031368113
BaseRepresentation
bin1010001000100010…
…0101110000000000
321000120110111002010
42202020211300000
521032330121033
61125530252520
7124256661603
oct24210456000
97016414063
102720160768
111176507056
1263ab87140
133447250b0
141bb3a033a
1510dc18863
hexa2225c00

2720160768 has 88 divisors (see below), whose sum is σ = 7808044048. Its totient is φ = 836960256.

The previous prime is 2720160761. The next prime is 2720160797. The reversal of 2720160768 is 8670610272.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2720160761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5880 + ... + 73992.

Almost surely, 22720160768 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 2720160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904022024).

2720160768 is an abundant number, since it is smaller than the sum of its proper divisors (5087883280).

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

2720160768 is a wasteful number, since it uses less digits than its factorization.

2720160768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68149 (or 68131 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 2720160768 is about 52155.1605116886. The cubic root of 2720160768 is about 1395.9339109333.

The spelling of 2720160768 in words is "two billion, seven hundred twenty million, one hundred sixty 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 1024 1248 1536 1664 2496 3072 3328 4992 6656 9984 13312 19968 39936 68113 136226 204339 272452 408678 544904 817356 885469 1089808 1634712 1770938 2179616 2656407 3269424 3541876 4359232 5312814 6538848 7083752 8718464 10625628 13077696 14167504 17436928 21251256 26155392 28335008 34873856 42502512 52310784 56670016 69747712 85005024 104621568 113340032 170010048 209243136 226680064 340020096 453360128 680040192 906720256 1360080384 2720160768