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116667348 = 223729471019
BaseRepresentation
bin1101111010000…
…11001111010100
322010112022111220
412331003033110
5214331323343
615324330340
72614441020
oct675031724
9263468456
10116667348
115a9459a6
12330a39b0
131b22b045
14116cd380
15a398183
hex6f433d4

116667348 has 96 divisors (see below), whose sum is σ = 329011200. Its totient is φ = 31468416.

The previous prime is 116667337. The next prime is 116667349. The reversal of 116667348 is 843766611.

It is a super-2 number, since 2×1166673482 = 27222540178706208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116667349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113983 + ... + 115001.

It is an arithmetic number, because the mean of its divisors is an integer number (3427200).

Almost surely, 2116667348 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 116667348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

116667348 is an abundant number, since it is smaller than the sum of its proper divisors (212343852).

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

116667348 is a wasteful number, since it uses less digits than its factorization.

116667348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1107 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 116667348 is about 10801.2660369051. The cubic root of 116667348 is about 488.6333541620.

The spelling of 116667348 in words is "one hundred sixteen million, six hundred sixty-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 47 58 84 87 94 116 141 174 188 203 282 329 348 406 564 609 658 812 987 1019 1218 1316 1363 1974 2038 2436 2726 3057 3948 4076 4089 5452 6114 7133 8178 9541 12228 14266 16356 19082 21399 28532 28623 29551 38164 42798 47893 57246 59102 85596 88653 95786 114492 118204 143679 177306 191572 206857 287358 335251 354612 413714 574716 620571 670502 827428 1005753 1241142 1341004 1388897 2011506 2482284 2777794 4023012 4166691 5555588 8333382 9722279 16666764 19444558 29166837 38889116 58333674 116667348