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2677343020 = 22511109311359
BaseRepresentation
bin1001111110010101…
…0000001100101100
320220120220010011121
42133211100030230
520440344434040
61121400430324
7123230016532
oct23745201454
96816803147
102677343020
111154321490
126287783a4
133388b2b51
141b5816152
1510a0abc4a
hex9f95032c

2677343020 has 96 divisors (see below), whose sum is σ = 6227020800. Its totient is φ = 958867200.

The previous prime is 2677343003. The next prime is 2677343027. The reversal of 2677343020 is 203437762.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2677343027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7457601 + ... + 7457959.

It is an arithmetic number, because the mean of its divisors is an integer number (64864800).

Almost surely, 22677343020 is an apocalyptic number.

2677343020 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 2677343020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113510400).

2677343020 is an abundant number, since it is smaller than the sum of its proper divisors (3549677780).

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

2677343020 is a wasteful number, since it uses less digits than its factorization.

2677343020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 34.

The square root of 2677343020 is about 51743.0480354608. The cubic root of 2677343020 is about 1388.5707269040.

The spelling of 2677343020 in words is "two billion, six hundred seventy-seven million, three hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 218 220 311 359 436 545 622 718 1090 1199 1244 1436 1555 1795 2180 2398 3110 3421 3590 3949 4796 5995 6220 6842 7180 7898 11990 13684 15796 17105 19745 23980 33899 34210 39131 39490 67798 68420 78262 78980 111649 135596 156524 169495 195655 223298 338990 372889 391310 430441 446596 558245 677980 745778 782620 860882 1116490 1228139 1491556 1721764 1864445 2152205 2232980 2456278 3728890 4304410 4912556 6140695 7457780 8608820 12169741 12281390 24339482 24562780 48678964 60848705 121697410 133867151 243394820 267734302 535468604 669335755 1338671510 2677343020