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1338877020 = 2235131716509
BaseRepresentation
bin100111111001101…
…1010010001011100
310110022022222222210
41033303122101130
510220223031040
6340504440420
745115160355
oct11763322134
93408288883
101338877020
11627841138
12314479110
131844ca630
14c9b60d2c
157c81e480
hex4fcda45c

1338877020 has 48 divisors (see below), whose sum is σ = 4037231520. Its totient is φ = 329569536.

The previous prime is 1338876991. The next prime is 1338877063. The reversal of 1338877020 is 207788331.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1338877020.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 857475 + ... + 859034.

It is an arithmetic number, because the mean of its divisors is an integer number (84108990).

Almost surely, 21338877020 is an apocalyptic number.

1338877020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338877020 is an abundant number, since it is smaller than the sum of its proper divisors (2698354500).

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

1338877020 is a wasteful number, since it uses less digits than its factorization.

1338877020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716534 (or 1716532 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 1338877020 is about 36590.6684825517. The cubic root of 1338877020 is about 1102.1657112493.

The spelling of 1338877020 in words is "one billion, three hundred thirty-eight million, eight hundred seventy-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1716509 3433018 5149527 6866036 8582545 10299054 17165090 20598108 22314617 25747635 34330180 44629234 51495270 66943851 89258468 102990540 111573085 133887702 223146170 267775404 334719255 446292340 669438510 1338877020