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116382840 = 23357219793
BaseRepresentation
bin1101110111111…
…01110001111000
322002222212020120
412323331301320
5214243222330
615314253240
72612144400
oct673756170
9262885216
10116382840
115a771172
1232b87220
131b15b6b2
1411657800
15a33dc10
hex6efdc78

116382840 has 96 divisors (see below), whose sum is σ = 406172880. Its totient is φ = 26600448.

The previous prime is 116382839. The next prime is 116382841. The reversal of 116382840 is 48283611.

It is an interprime number because it is at equal distance from previous prime (116382839) and next prime (116382841).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116382841) 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, 4017 + ... + 15776.

Almost surely, 2116382840 is an apocalyptic number.

116382840 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 116382840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203086440).

116382840 is an abundant number, since it is smaller than the sum of its proper divisors (289790040).

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

116382840 is a wasteful number, since it uses less digits than its factorization.

116382840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19821 (or 19810 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 116382840 is about 10788.0878750592. The cubic root of 116382840 is about 488.2358328901.

The spelling of 116382840 in words is "one hundred sixteen million, three hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 19793 39586 59379 79172 98965 118758 138551 158344 197930 237516 277102 296895 395860 415653 475032 554204 593790 692755 791720 831306 969857 1108408 1187580 1385510 1662612 1939714 2078265 2375160 2771020 2909571 3325224 3879428 4156530 4849285 5542040 5819142 7758856 8313060 9698570 11638284 14547855 16626120 19397140 23276568 29095710 38794280 58191420 116382840