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1013639430 = 235431395653
BaseRepresentation
bin111100011010101…
…110100100000110
32121122100012220010
4330122232210012
54033442430210
6244325451050
734055535666
oct7432564406
92548305803
101013639430
1148019a341
12243570a86
1313200445b
149889c1a6
155dec7920
hex3c6ae906

1013639430 has 64 divisors (see below), whose sum is σ = 2507662080. Its totient is φ = 262071936.

The previous prime is 1013639413. The next prime is 1013639437. The reversal of 1013639430 is 349363101.

1013639430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013639437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176484 + ... + 182136.

It is an arithmetic number, because the mean of its divisors is an integer number (39182220).

Almost surely, 21013639430 is an apocalyptic number.

1013639430 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 1013639430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253831040).

1013639430 is an abundant number, since it is smaller than the sum of its proper divisors (1494022650).

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

1013639430 is a wasteful number, since it uses less digits than its factorization.

1013639430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5845.

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 1013639430 is about 31837.7045340898. The cubic root of 1013639430 is about 1004.5259614360.

The spelling of 1013639430 in words is "one billion, thirteen million, six hundred thirty-nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 139 215 258 278 417 430 645 695 834 1290 1390 2085 4170 5653 5977 11306 11954 16959 17931 28265 29885 33918 35862 56530 59770 84795 89655 169590 179310 243079 486158 729237 785767 1215395 1458474 1571534 2357301 2430790 3646185 3928835 4714602 7292370 7857670 11786505 23573010 33787981 67575962 101363943 168939905 202727886 337879810 506819715 1013639430