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116162328 = 233231271657
BaseRepresentation
bin1101110110001…
…11111100011000
322002120122202110
412323013330120
5214214143303
615305432320
72610235452
oct673077430
9262518673
10116162328
115a630527
1232a9b6a0
131b0b2209
14115db2d2
15a2e8703
hex6ec7f18

116162328 has 64 divisors (see below), whose sum is σ = 305602560. Its totient is φ = 36723456.

The previous prime is 116162323. The next prime is 116162339. The reversal of 116162328 is 823261611.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 116162295 and 116162304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116162323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69276 + ... + 70932.

It is an arithmetic number, because the mean of its divisors is an integer number (4775040).

Almost surely, 2116162328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116162328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152801280).

116162328 is an abundant number, since it is smaller than the sum of its proper divisors (189440232).

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

116162328 is a wasteful number, since it uses less digits than its factorization.

116162328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1812 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 116162328 is about 10777.8628679344. The cubic root of 116162328 is about 487.9272824551.

The spelling of 116162328 in words is "one hundred sixteen million, one hundred sixty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 127 138 184 254 276 381 508 552 762 1016 1524 1657 2921 3048 3314 4971 5842 6628 8763 9942 11684 13256 17526 19884 23368 35052 38111 39768 70104 76222 114333 152444 210439 228666 304888 420878 457332 631317 841756 914664 1262634 1683512 2525268 4840097 5050536 9680194 14520291 19360388 29040582 38720776 58081164 116162328