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116506215 = 3357314197
BaseRepresentation
bin1101111000110…
…11111001100111
322010020010111000
412330123321213
5214311144330
615321044343
72613200160
oct674337147
9263203430
10116506215
115a845931
12330266b3
131b1a28b7
141168a767
15a365560
hex6f1be67

116506215 has 128 divisors (see below), whose sum is σ = 252887040. Its totient is φ = 49766400.

The previous prime is 116506213. The next prime is 116506217. The reversal of 116506215 is 512605611.

It is a happy number.

116506215 is a `hidden beast` number, since 1 + 1 + 650 + 6 + 2 + 1 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (116506213) and next prime (116506217).

It is not a de Polignac number, because 116506215 - 21 = 116506213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116506213) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1201047 + ... + 1201143.

It is an arithmetic number, because the mean of its divisors is an integer number (1975680).

Almost surely, 2116506215 is an apocalyptic number.

116506215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

116506215 is an abundant number, since it is smaller than the sum of its proper divisors (136380825).

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

116506215 is a wasteful number, since it uses less digits than its factorization.

116506215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 116506215 is about 10793.8044729372. The cubic root of 116506215 is about 488.4082948081.

The spelling of 116506215 in words is "one hundred sixteen million, five hundred six thousand, two hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 31 35 41 45 63 93 97 105 123 135 155 189 205 217 279 287 291 315 369 465 485 615 651 679 837 861 873 945 1085 1107 1271 1395 1435 1455 1845 1953 2037 2583 2619 3007 3255 3395 3813 3977 4185 4305 4365 5535 5859 6111 6355 7749 8897 9021 9765 10185 11439 11931 12915 13095 15035 18333 19065 19885 21049 26691 27063 27839 29295 30555 34317 35793 38745 44485 45105 57195 59655 63147 80073 81189 83517 91665 105245 107379 123287 133455 135315 139195 171585 178965 189441 240219 250551 315735 369861 400365 405945 417585 536895 568323 616435 751653 863009 947205 1109583 1201095 1252755 1849305 2589027 2841615 3328749 3758265 4315045 5547915 7767081 12945135 16643745 23301243 38835405 116506215