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116606460 = 223541107443
BaseRepresentation
bin1101111001101…
…00010111111100
322010102012222210
412330310113330
5214322401320
615323140420
72614065345
oct674642774
9263365883
10116606460
115a904183
1233074710
131b209409
14116b50cc
15a3850e0
hex6f345fc

116606460 has 96 divisors (see below), whose sum is σ = 338349312. Its totient is φ = 29985280.

The previous prime is 116606459. The next prime is 116606461. The reversal of 116606460 is 64606611.

It is an interprime number because it is at equal distance from previous prime (116606459) and next prime (116606461).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116606461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262999 + ... + 263441.

It is an arithmetic number, because the mean of its divisors is an integer number (3524472).

Almost surely, 2116606460 is an apocalyptic number.

116606460 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 116606460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169174656).

116606460 is an abundant number, since it is smaller than the sum of its proper divisors (221742852).

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

116606460 is a wasteful number, since it uses less digits than its factorization.

116606460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 116606460 is about 10798.4471105803. The cubic root of 116606460 is about 488.5483344158.

The spelling of 116606460 in words is "one hundred sixteen million, six hundred six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 107 123 164 205 214 246 321 410 428 443 492 535 615 642 820 886 1070 1230 1284 1329 1605 1772 2140 2215 2460 2658 3210 4387 4430 5316 6420 6645 8774 8860 13161 13290 17548 18163 21935 26322 26580 36326 43870 47401 52644 54489 65805 72652 87740 90815 94802 108978 131610 142203 181630 189604 217956 237005 263220 272445 284406 363260 474010 544890 568812 711015 948020 1089780 1422030 1943441 2844060 3886882 5830323 7773764 9717205 11660646 19434410 23321292 29151615 38868820 58303230 116606460