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1013403440 = 24578321803
BaseRepresentation
bin111100011001110…
…100111100110000
32121121220020011202
4330121310330300
54033412402230
6244320430332
734053533660
oct7431647460
92547806152
101013403440
11480049005
122434783a8
13131c50c0a
149883a1a0
155de7ca45
hex3c674f30

1013403440 has 80 divisors (see below), whose sum is σ = 2725325568. Its totient is φ = 343250688.

The previous prime is 1013403427. The next prime is 1013403451. The reversal of 1013403440 is 443043101.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35579 + ... + 57381.

Almost surely, 21013403440 is an apocalyptic number.

1013403440 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 1013403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362662784).

1013403440 is an abundant number, since it is smaller than the sum of its proper divisors (1711922128).

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

1013403440 is a wasteful number, since it uses less digits than its factorization.

1013403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21906 (or 21900 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1013403440 is about 31833.9981780486. The cubic root of 1013403440 is about 1004.4479993014.

Adding to 1013403440 its reverse (443043101), we get a palindrome (1456446541).

The spelling of 1013403440 in words is "one billion, thirteen million, four hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 83 112 140 166 280 332 415 560 581 664 830 1162 1328 1660 2324 2905 3320 4648 5810 6640 9296 11620 21803 23240 43606 46480 87212 109015 152621 174424 218030 305242 348848 436060 610484 763105 872120 1220968 1526210 1744240 1809649 2441936 3052420 3619298 6104840 7238596 9048245 12209680 12667543 14477192 18096490 25335086 28954384 36192980 50670172 63337715 72385960 101340344 126675430 144771920 202680688 253350860 506701720 1013403440