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2772920340 = 2232515405113
BaseRepresentation
bin1010010101000111…
…0110100000010100
321011020201221121100
42211101312200110
521134331422330
61135053150100
7125500301601
oct24521664024
97136657540
102772920340
1111a3272103
1265478b330
13352638588
141c43b56a8
1511368b060
hexa5476814

2772920340 has 36 divisors (see below), whose sum is σ = 8411192244. Its totient is φ = 739445376.

The previous prime is 2772920329. The next prime is 2772920387. The reversal of 2772920340 is 430292772.

2772920340 is a `hidden beast` number, since 27 + 7 + 292 + 0 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1742895504 + 1030024836 = 41748^2 + 32094^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2772920295 and 2772920304.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7702377 + ... + 7702736.

It is an arithmetic number, because the mean of its divisors is an integer number (233644229).

Almost surely, 22772920340 is an apocalyptic number.

2772920340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2772920340 is an abundant number, since it is smaller than the sum of its proper divisors (5638271904).

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

2772920340 is a wasteful number, since it uses less digits than its factorization.

2772920340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15405128 (or 15405123 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2772920340 is about 52658.5258054192. The cubic root of 2772920340 is about 1404.9012464204.

The spelling of 2772920340 in words is "two billion, seven hundred seventy-two million, nine hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 15405113 30810226 46215339 61620452 77025565 92430678 138646017 154051130 184861356 231076695 277292034 308102260 462153390 554584068 693230085 924306780 1386460170 2772920340