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1139624430 = 235710949787
BaseRepresentation
bin100001111101101…
…0100100111101110
32221102101220211020
41003323110213232
54313220440210
6305030035010
740145435130
oct10373244756
92842356736
101139624430
1153531977a
122797a8a66
131521455a9
14ab4d5050
156a0b1770
hex43ed49ee

1139624430 has 64 divisors (see below), whose sum is σ = 3154567680. Its totient is φ = 258090624.

The previous prime is 1139624429. The next prime is 1139624477. The reversal of 1139624430 is 344269311.

It is a junction number, because it is equal to n+sod(n) for n = 1139624391 and 1139624400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2004 + ... + 47783.

It is an arithmetic number, because the mean of its divisors is an integer number (49290120).

Almost surely, 21139624430 is an apocalyptic number.

1139624430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1139624430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577283840).

1139624430 is an abundant number, since it is smaller than the sum of its proper divisors (2014943250).

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

1139624430 is a wasteful number, since it uses less digits than its factorization.

1139624430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49913.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 1139624430 is about 33758.3238624195. The cubic root of 1139624430 is about 1044.5291958246.

The spelling of 1139624430 in words is "one billion, one hundred thirty-nine million, six hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 109 210 218 327 545 654 763 1090 1526 1635 2289 3270 3815 4578 7630 11445 22890 49787 99574 149361 248935 298722 348509 497870 697018 746805 1045527 1493610 1742545 2091054 3485090 5227635 5426783 10455270 10853566 16280349 27133915 32560698 37987481 54267830 75974962 81401745 113962443 162803490 189937405 227924886 379874810 569812215 1139624430