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1381793960 = 23561836823
BaseRepresentation
bin101001001011100…
…1000000010101000
310120022002101222002
41102113020002220
510312214401320
6345040350132
746146024551
oct12227100250
93508071862
101381793960
11649a94288
12326915348
13190375a81
14d1733328
158149a675
hex525c80a8

1381793960 has 64 divisors (see below), whose sum is σ = 3198545280. Its totient is φ = 537027840.

The previous prime is 1381793947. The next prime is 1381793993. The reversal of 1381793960 is 693971831.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 199109 + ... + 205931.

It is an arithmetic number, because the mean of its divisors is an integer number (49977270).

Almost surely, 21381793960 is an apocalyptic number.

1381793960 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 1381793960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599272640).

1381793960 is an abundant number, since it is smaller than the sum of its proper divisors (1816751320).

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

1381793960 is a wasteful number, since it uses less digits than its factorization.

1381793960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6978 (or 6974 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 47.

The square root of 1381793960 is about 37172.4892897960. The cubic root of 1381793960 is about 1113.8185075864.

The spelling of 1381793960 in words is "one billion, three hundred eighty-one million, seven hundred ninety-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 61 83 122 166 244 305 332 415 488 610 664 830 1220 1660 2440 3320 5063 6823 10126 13646 20252 25315 27292 34115 40504 50630 54584 68230 101260 136460 202520 272920 416203 566309 832406 1132618 1664812 2081015 2265236 2831545 3329624 4162030 4530472 5663090 8324060 11326180 16648120 22652360 34544849 69089698 138179396 172724245 276358792 345448490 690896980 1381793960