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1075130388 = 2233172512333
BaseRepresentation
bin100000000010101…
…0011000000010100
32202221001021122000
41000011103000110
54200213133023
6254403435300
735433312633
oct10005230024
92687037560
101075130388
11501979412
12260085b30
13141983c37
14a2b0751a
15645c2243
hex40153014

1075130388 has 96 divisors (see below), whose sum is σ = 2964366720. Its totient is φ = 335808000.

The previous prime is 1075130347. The next prime is 1075130401. The reversal of 1075130388 is 8830315701.

1075130388 is a `hidden beast` number, since 107 + 513 + 0 + 38 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 459670 + ... + 462002.

It is an arithmetic number, because the mean of its divisors is an integer number (30878820).

Almost surely, 21075130388 is an apocalyptic number.

1075130388 is a gapful number since it is divisible by the number (18) 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 1075130388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482183360).

1075130388 is an abundant number, since it is smaller than the sum of its proper divisors (1889236332).

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

1075130388 is a wasteful number, since it uses less digits than its factorization.

1075130388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1075130388 is about 32789.1809595787. The cubic root of 1075130388 is about 1024.4412224660.

The spelling of 1075130388 in words is "one billion, seventy-five million, one hundred thirty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 251 306 459 502 612 753 918 1004 1506 1836 2259 2333 3012 4267 4518 4666 6777 6999 8534 9036 9332 12801 13554 13998 17068 20997 25602 27108 27996 38403 39661 41994 51204 62991 76806 79322 83988 115209 118983 125982 153612 158644 230418 237966 251964 356949 460836 475932 585583 713898 1070847 1171166 1427796 1756749 2141694 2342332 3513498 4283388 5270247 7026996 9954911 10540494 15810741 19909822 21080988 29864733 31621482 39819644 59729466 63242964 89594199 119458932 179188398 268782597 358376796 537565194 1075130388