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1112934564 = 2232719922193
BaseRepresentation
bin100001001010110…
…0000100010100100
32212120011221012200
41002111200202210
54234402401224
6302234014500
736402534120
oct10225404244
92776157180
101112934564
1152124a235
12270877430
1314975c181
14a7b48580
1567a8d5c9
hex425608a4

1112934564 has 72 divisors (see below), whose sum is σ = 3231446400. Its totient is φ = 316369152.

The previous prime is 1112934553. The next prime is 1112934577. The reversal of 1112934564 is 4654392111.

It is a happy number.

1112934564 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 93 + 4 + 564 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39052 + ... + 61244.

It is an arithmetic number, because the mean of its divisors is an integer number (44881200).

Almost surely, 21112934564 is an apocalyptic number.

1112934564 is a gapful number since it is divisible by the number (14) 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 1112934564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615723200).

1112934564 is an abundant number, since it is smaller than the sum of its proper divisors (2118511836).

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

1112934564 is a wasteful number, since it uses less digits than its factorization.

1112934564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22409 (or 22404 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1112934564 is about 33360.6739140564. The cubic root of 1112934564 is about 1036.3104481979.

The spelling of 1112934564 in words is "one billion, one hundred twelve million, nine hundred thirty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 199 252 398 597 796 1194 1393 1791 2388 2786 3582 4179 5572 7164 8358 12537 16716 22193 25074 44386 50148 66579 88772 133158 155351 199737 266316 310702 399474 466053 621404 798948 932106 1398159 1864212 2796318 4416407 5592636 8832814 13249221 17665628 26498442 30914849 39747663 52996884 61829698 79495326 92744547 123659396 158990652 185489094 278233641 370978188 556467282 1112934564