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1013555430 = 23553711273
BaseRepresentation
bin111100011010011…
…010000011100110
32121122011221200000
4330122122003212
54033432233210
6244324002130
734055036046
oct7432320346
92548157600
101013555430
11480142218
12243530346
13131ca5154
1498879726
155deacac0
hex3c69a0e6

1013555430 has 96 divisors (see below), whose sum is σ = 2806955424. Its totient is φ = 262953216.

The previous prime is 1013555401. The next prime is 1013555461. The reversal of 1013555430 is 345553101.

1013555430 is a `hidden beast` number, since 101 + 3 + 5 + 554 + 3 + 0 = 666.

1013555430 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 1013555394 and 1013555403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84274 + ... + 95546.

It is an arithmetic number, because the mean of its divisors is an integer number (29239119).

Almost surely, 21013555430 is an apocalyptic number.

1013555430 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 1013555430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403477712).

1013555430 is an abundant number, since it is smaller than the sum of its proper divisors (1793399994).

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

1013555430 is a wasteful number, since it uses less digits than its factorization.

1013555430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11332 (or 11320 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1013555430 is about 31836.3853161756. The cubic root of 1013555430 is about 1004.4982124129.

The spelling of 1013555430 in words is "one billion, thirteen million, five hundred fifty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 243 270 333 370 405 486 555 666 810 999 1110 1215 1665 1998 2430 2997 3330 4995 5994 8991 9990 11273 14985 17982 22546 29970 33819 44955 56365 67638 89910 101457 112730 169095 202914 304371 338190 417101 507285 608742 834202 913113 1014570 1251303 1521855 1826226 2085505 2502606 2739339 3043710 3753909 4171010 4565565 5478678 6256515 7507818 9131130 11261727 12513030 13696695 18769545 22523454 27393390 33785181 37539090 56308635 67570362 101355543 112617270 168925905 202711086 337851810 506777715 1013555430