Search a number
-
+
116376390 = 232513175851
BaseRepresentation
bin1101110111111…
…00001101000110
322002222112101200
412323330031012
5214243021030
615314203330
72612116524
oct673741506
9262875350
10116376390
115a767339
1232b83546
131b158790
1411655314
15a33bd60
hex6efc346

116376390 has 96 divisors (see below), whose sum is σ = 345080736. Its totient is φ = 26956800.

The previous prime is 116376383. The next prime is 116376397. The reversal of 116376390 is 93673611.

116376390 is a `hidden beast` number, since 1 + 16 + 3 + 7 + 639 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116376383) and next prime (116376397).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116376397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16965 + ... + 22815.

It is an arithmetic number, because the mean of its divisors is an integer number (3594591).

Almost surely, 2116376390 is an apocalyptic number.

116376390 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 116376390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172540368).

116376390 is an abundant number, since it is smaller than the sum of its proper divisors (228704346).

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

116376390 is a wasteful number, since it uses less digits than its factorization.

116376390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5894 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 116376390 is about 10787.7889300820. The cubic root of 116376390 is about 488.2268132921.

The spelling of 116376390 in words is "one hundred sixteen million, three hundred seventy-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 5851 6630 9945 11702 17553 19890 29255 35106 52659 58510 76063 87765 99467 105318 152126 175530 198934 228189 263295 298401 380315 456378 497335 526590 596802 684567 760630 895203 994670 1140945 1293071 1369134 1492005 1790406 2281890 2586142 2984010 3422835 3879213 4476015 6465355 6845670 7758426 8952030 11637639 12930710 19396065 23275278 38792130 58188195 116376390