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2772420780 = 223571837841
BaseRepresentation
bin1010010100111111…
…1100100010101100
321011012210120100010
42211033330202230
521134214431110
61135034333220
7125463121263
oct24517744254
97135716303
102772420780
1111a2a60848
1265458a210
133524c208c
141c42c55da
151135dd020
hexa53fc8ac

2772420780 has 96 divisors (see below), whose sum is σ = 7967973888. Its totient is φ = 720025600.

The previous prime is 2772420757. The next prime is 2772420857. The reversal of 2772420780 is 870242772.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 349660 + ... + 357500.

It is an arithmetic number, because the mean of its divisors is an integer number (82999728).

Almost surely, 22772420780 is an apocalyptic number.

2772420780 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 2772420780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983986944).

2772420780 is an abundant number, since it is smaller than the sum of its proper divisors (5195553108).

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

2772420780 is a wasteful number, since it uses less digits than its factorization.

2772420780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007 (or 8005 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 39.

The square root of 2772420780 is about 52653.7822003320. The cubic root of 2772420780 is about 1404.8168739260.

The spelling of 2772420780 in words is "two billion, seven hundred seventy-two million, four hundred twenty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 83 142 166 213 249 284 332 355 415 426 498 710 830 852 996 1065 1245 1420 1660 2130 2490 4260 4980 5893 7841 11786 15682 17679 23523 23572 29465 31364 35358 39205 47046 58930 70716 78410 88395 94092 117615 117860 156820 176790 235230 353580 470460 556711 650803 1113422 1301606 1670133 1952409 2226844 2603212 2783555 3254015 3340266 3904818 5567110 6508030 6680532 7809636 8350665 9762045 11134220 13016060 16701330 19524090 33402660 39048180 46207013 92414026 138621039 184828052 231035065 277242078 462070130 554484156 693105195 924140260 1386210390 2772420780