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1117006992 = 243297211379
BaseRepresentation
bin100001010010100…
…0010110010010000
32212211211211112100
41002211002302100
54241423210432
6302501200400
736452255103
oct10245026220
92784754470
101117006992
11523580982
12272100100
1314a5569aa
14a84c873a
15680e507c
hex42942c90

1117006992 has 120 divisors (see below), whose sum is σ = 3181636640. Its totient is φ = 365783040.

The previous prime is 1117006951. The next prime is 1117006999. The reversal of 1117006992 is 2996007111.

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

It is not an unprimeable number, because it can be changed into a prime (1117006999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2947059 + ... + 2947437.

Almost surely, 21117006992 is an apocalyptic number.

1117006992 is a gapful number since it is divisible by the number (12) 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 1117006992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590818320).

1117006992 is an abundant number, since it is smaller than the sum of its proper divisors (2064629648).

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

1117006992 is a wasteful number, since it uses less digits than its factorization.

1117006992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 1117006992 is about 33421.6545371410. The cubic root of 1117006992 is about 1037.5729250913.

The spelling of 1117006992 in words is "one billion, one hundred seventeen million, six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 211 291 379 388 422 582 633 758 776 844 873 1137 1164 1266 1516 1552 1688 1746 1899 2274 2328 2532 3032 3376 3411 3492 3798 4548 4656 5064 6064 6822 6984 7596 9096 10128 13644 13968 15192 18192 20467 27288 30384 36763 40934 54576 61401 73526 79969 81868 110289 122802 147052 159938 163736 184203 220578 239907 245604 294104 319876 327472 330867 368406 441156 479814 491208 588208 639752 661734 719721 736812 882312 959628 982416 1279504 1323468 1439442 1473624 1764624 1919256 2646936 2878884 2947248 3838512 5293872 5757768 7756993 11515536 15513986 23270979 31027972 46541958 62055944 69812937 93083916 124111888 139625874 186167832 279251748 372335664 558503496 1117006992