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116917992 = 2335137439
BaseRepresentation
bin1101111100000…
…00011011101000
322011000001100000
412332000123220
5214412333432
615333543000
72616533532
oct676003350
9264001300
10116917992
115aaa7244
12331a4a60
131b2b8159
1411756852
15a3e757c
hex6f806e8

116917992 has 96 divisors (see below), whose sum is σ = 331531200. Its totient is φ = 38600064.

The previous prime is 116917987. The next prime is 116918003. The reversal of 116917992 is 299719611.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266109 + ... + 266547.

It is an arithmetic number, because the mean of its divisors is an integer number (3453450).

Almost surely, 2116917992 is an apocalyptic number.

116917992 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 116917992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165765600).

116917992 is an abundant number, since it is smaller than the sum of its proper divisors (214613208).

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

116917992 is a wasteful number, since it uses less digits than its factorization.

116917992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 581 counting only the distinct ones).

The product of its digits is 61236, while the sum is 45.

The square root of 116917992 is about 10812.8623407496. The cubic root of 116917992 is about 488.9830247410.

It can be divided in two parts, 11691 and 7992, that added together give a 9-th power (19683 = 39).

The spelling of 116917992 in words is "one hundred sixteen million, nine hundred seventeen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 137 162 216 243 274 324 411 439 486 548 648 822 878 972 1096 1233 1317 1644 1756 1944 2466 2634 3288 3512 3699 3951 4932 5268 7398 7902 9864 10536 11097 11853 14796 15804 22194 23706 29592 31608 33291 35559 44388 47412 60143 66582 71118 88776 94824 106677 120286 133164 142236 180429 213354 240572 266328 284472 360858 426708 481144 541287 721716 853416 1082574 1443432 1623861 2165148 3247722 4330296 4871583 6495444 9743166 12990888 14614749 19486332 29229498 38972664 58458996 116917992