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1381479440 = 245115033121
BaseRepresentation
bin101001001010111…
…1011010000010000
310120021111102112012
41102111323100100
510312124320230
6345025522052
746143244565
oct12225732020
93507442465
101381479440
11649899a50
123267a3328
13190295873
14d169086c
1581437395
hex5257b410

1381479440 has 80 divisors (see below), whose sum is σ = 3512025216. Its totient is φ = 501196800.

The previous prime is 1381479433. The next prime is 1381479469. The reversal of 1381479440 is 449741831.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 441080 + ... + 444200.

Almost surely, 21381479440 is an apocalyptic number.

1381479440 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 1381479440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756012608).

1381479440 is an abundant number, since it is smaller than the sum of its proper divisors (2130545776).

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

1381479440 is a wasteful number, since it uses less digits than its factorization.

1381479440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 1381479440 is about 37168.2585010382. The cubic root of 1381479440 is about 1113.7339931098.

The spelling of 1381479440 in words is "one billion, three hundred eighty-one million, four hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 503 880 1006 2012 2515 3121 4024 5030 5533 6242 8048 10060 11066 12484 15605 20120 22132 24968 27665 31210 34331 40240 44264 49936 55330 62420 68662 88528 110660 124840 137324 171655 221320 249680 274648 343310 442640 549296 686620 1373240 1569863 2746480 3139726 6279452 7849315 12558904 15698630 17268493 25117808 31397260 34536986 62794520 69073972 86342465 125589040 138147944 172684930 276295888 345369860 690739720 1381479440