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116815950 = 23252436037
BaseRepresentation
bin1101111011001…
…11100001001110
322010210212100200
412331213201032
5214401102300
615331434330
72615630166
oct675474116
9263725320
10116815950
115aa37609
12331559a6
131b280884
141172b5a6
15a3c7200
hex6f6784e

116815950 has 72 divisors (see below), whose sum is σ = 321197448. Its totient is φ = 30421440.

The previous prime is 116815939. The next prime is 116815961. The reversal of 116815950 is 59518611.

116815950 is a `hidden beast` number, since 1 + 1 + 68 + 1 + 595 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116815939) and next prime (116815961).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16332 + ... + 22368.

Almost surely, 2116815950 is an apocalyptic number.

116815950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116815950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160598724).

116815950 is an abundant number, since it is smaller than the sum of its proper divisors (204381498).

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

116815950 is a wasteful number, since it uses less digits than its factorization.

116815950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6098 (or 6090 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The square root of 116815950 is about 10808.1427636759. The cubic root of 116815950 is about 488.8407274833.

The spelling of 116815950 in words is "one hundred sixteen million, eight hundred fifteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 129 150 215 225 258 387 430 450 645 774 1075 1290 1935 2150 3225 3870 6037 6450 9675 12074 18111 19350 30185 36222 54333 60370 90555 108666 150925 181110 259591 271665 301850 452775 519182 543330 778773 905550 1297955 1358325 1557546 2336319 2595910 2716650 3893865 4672638 6489775 7787730 11681595 12979550 19469325 23363190 38938650 58407975 116815950