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1013444032 = 26234631487
BaseRepresentation
bin111100011001111…
…110110111000000
32121121222021212011
4330121332313000
54033420202112
6244321342304
734054063216
oct7431766700
92547867764
101013444032
11480076557
12243497994
13131c66533
149884acb6
155de89aa7
hex3c67edc0

1013444032 has 56 divisors (see below), whose sum is σ = 2104436736. Its totient is φ = 483318528.

The previous prime is 1013443993. The next prime is 1013444039. The reversal of 1013444032 is 2304443101.

It is a junction number, because it is equal to n+sod(n) for n = 1013443994 and 1013444012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013444039) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 680793 + ... + 682279.

Almost surely, 21013444032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052218368).

1013444032 is an abundant number, since it is smaller than the sum of its proper divisors (1090992704).

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

1013444032 is a wasteful number, since it uses less digits than its factorization.

1013444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1013444032 is about 31834.6357290295. The cubic root of 1013444032 is about 1004.4614102186.

Adding to 1013444032 its reverse (2304443101), we get a palindrome (3317887133).

The spelling of 1013444032 in words is "one billion, thirteen million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 463 736 926 1472 1487 1852 2974 3704 5948 7408 10649 11896 14816 21298 23792 29632 34201 42596 47584 68402 85192 95168 136804 170384 273608 340768 547216 681536 688481 1094432 1376962 2188864 2753924 5507848 11015696 15835063 22031392 31670126 44062784 63340252 126680504 253361008 506722016 1013444032