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1113579968 = 261719103523
BaseRepresentation
bin100001001011111…
…1110000111000000
32212121101201112112
41002113332013000
54240034024333
6302255514452
736411162554
oct10227760700
92777351475
101113579968
11521650126
12270b28a28
13149926b77
14a7c75864
1567b69948
hex425fe1c0

1113579968 has 112 divisors (see below), whose sum is σ = 2491557120. Its totient is φ = 490696704.

The previous prime is 1113579953. The next prime is 1113579997. The reversal of 1113579968 is 8699753111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2128955 + ... + 2129477.

Almost surely, 21113579968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245778560).

1113579968 is an abundant number, since it is smaller than the sum of its proper divisors (1377977152).

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

1113579968 is a wasteful number, since it uses less digits than its factorization.

1113579968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 664 counting only the distinct ones).

The product of its digits is 408240, while the sum is 50.

The square root of 1113579968 is about 33370.3456380062. The cubic root of 1113579968 is about 1036.5107324082.

The spelling of 1113579968 in words is "one billion, one hundred thirteen million, five hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 103 136 152 206 272 304 323 412 523 544 608 646 824 1046 1088 1216 1292 1648 1751 1957 2092 2584 3296 3502 3914 4184 5168 6592 7004 7828 8368 8891 9937 10336 14008 15656 16736 17782 19874 20672 28016 31312 33269 33472 35564 39748 53869 56032 62624 66538 71128 79496 107738 112064 125248 133076 142256 158992 168929 215476 266152 284512 317984 337858 430952 532304 569024 635968 675716 861904 915773 1023511 1064608 1351432 1723808 1831546 2047022 2129216 2702864 3447616 3663092 4094044 5405728 7326184 8188088 10811456 14652368 16376176 17399687 29304736 32752352 34799374 58609472 65504704 69598748 139197496 278394992 556789984 1113579968