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1376772100 = 2252112943159
BaseRepresentation
bin101001000001111…
…1110000000000100
310112221122021021021
41102003332000010
510304423201400
6344341000524
746055240554
oct12203760004
93487567237
101376772100
11647174290
123250b3144
1318c308062
14d0bc7164
1580d0771a
hex520fe004

1376772100 has 72 divisors (see below), whose sum is σ = 3371659200. Its totient is φ = 483369600.

The previous prime is 1376772083. The next prime is 1376772143. The reversal of 1376772100 is 12776731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10321 + ... + 53479.

It is an arithmetic number, because the mean of its divisors is an integer number (46828600).

Almost surely, 21376772100 is an apocalyptic number.

1376772100 is a gapful number since it is divisible by the number (10) 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 1376772100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685829600).

1376772100 is an abundant number, since it is smaller than the sum of its proper divisors (1994887100).

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

1376772100 is a wasteful number, since it uses less digits than its factorization.

1376772100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43213 (or 43206 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 34.

The square root of 1376772100 is about 37104.8797329947. The cubic root of 1376772100 is about 1112.4675511303.

The spelling of 1376772100 in words is "one billion, three hundred seventy-six million, seven hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 15950 31900 43159 86318 172636 215795 431590 474749 863180 949498 1078975 1251611 1898996 2157950 2373745 2503222 4315900 4747490 5006444 6258055 9494980 11868725 12516110 13767721 23737450 25032220 27535442 31290275 47474900 55070884 62580550 68838605 125161100 137677210 275354420 344193025 688386050 1376772100