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2046328720 = 245433591657
BaseRepresentation
bin111100111111000…
…0111111110010000
312021121112021021121
41321332013332100
513142330004340
6535015532024
7101465335642
oct17176077620
95247467247
102046328720
11960110067
1249138a014
13267c486c7
14155ab8892
15be9b494a
hex79f87f90

2046328720 has 80 divisors (see below), whose sum is σ = 4884865920. Its totient is φ = 796787712.

The previous prime is 2046328717. The next prime is 2046328759. The reversal of 2046328720 is 278236402.

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

It is a super-2 number, since 2×20463287202 = 8374922460593676800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1234132 + ... + 1235788.

It is an arithmetic number, because the mean of its divisors is an integer number (61060824).

Almost surely, 22046328720 is an apocalyptic number.

2046328720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2046328720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442432960).

2046328720 is an abundant number, since it is smaller than the sum of its proper divisors (2838537200).

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

2046328720 is a wasteful number, since it uses less digits than its factorization.

2046328720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 2046328720 is about 45236.3650175387. The cubic root of 2046328720 is about 1269.5753059470.

The spelling of 2046328720 in words is "two billion, forty-six million, three hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 359 430 688 718 860 1436 1657 1720 1795 2872 3314 3440 3590 5744 6628 7180 8285 13256 14360 15437 16570 26512 28720 30874 33140 61748 66280 71251 77185 123496 132560 142502 154370 246992 285004 308740 356255 570008 594863 617480 712510 1140016 1189726 1234960 1425020 2379452 2850040 2974315 4758904 5700080 5948630 9517808 11897260 23794520 25579109 47589040 51158218 102316436 127895545 204632872 255791090 409265744 511582180 1023164360 2046328720