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116196460 = 225234161101
BaseRepresentation
bin1101110110100…
…00010001101100
322002122101120121
412323100101230
5214221241320
615310254324
72610440122
oct673202154
9262571517
10116196460
115a654136
1232ab73a4
131b0c4903
1411609912
15a3038aa
hex6ed046c

116196460 has 96 divisors (see below), whose sum is σ = 267732864. Its totient is φ = 42240000.

The previous prime is 116196427. The next prime is 116196467. The reversal of 116196460 is 64691611.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (116196467) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1150410 + ... + 1150510.

It is an arithmetic number, because the mean of its divisors is an integer number (2788884).

Almost surely, 2116196460 is an apocalyptic number.

116196460 is a gapful number since it is divisible by the number (10) 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 116196460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133866432).

116196460 is an abundant number, since it is smaller than the sum of its proper divisors (151536404).

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

116196460 is a wasteful number, since it uses less digits than its factorization.

116196460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 116196460 is about 10779.4461824344. The cubic root of 116196460 is about 487.9750670322.

The spelling of 116196460 in words is "one hundred sixteen million, one hundred ninety-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 41 46 61 82 92 101 115 122 164 202 205 230 244 305 404 410 460 505 610 820 943 1010 1220 1403 1886 2020 2323 2501 2806 3772 4141 4646 4715 5002 5612 6161 7015 8282 9292 9430 10004 11615 12322 12505 14030 16564 18860 20705 23230 24644 25010 28060 30805 41410 46460 50020 57523 61610 82820 95243 115046 123220 141703 190486 230092 252601 283406 287615 380972 476215 505202 566812 575230 708515 952430 1010404 1150460 1263005 1417030 1904860 2526010 2834060 5052020 5809823 11619646 23239292 29049115 58098230 116196460