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116267148 = 223217296551
BaseRepresentation
bin1101110111000…
…01100010001100
322002202222112200
412323201202030
5214231022043
615312001500
72611153164
oct673414214
9262688480
10116267148
115a6a2258
1232b30290
131b11ab3a
14116275a4
15a3197d3
hex6ee188c

116267148 has 72 divisors (see below), whose sum is σ = 321965280. Its totient is φ = 35212800.

The previous prime is 116267117. The next prime is 116267153. The reversal of 116267148 is 841762611.

It is a happy number.

116267148 is a `hidden beast` number, since 11 + 626 + 7 + 14 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14473 + ... + 21023.

It is an arithmetic number, because the mean of its divisors is an integer number (4471740).

Almost surely, 2116267148 is an apocalyptic number.

116267148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116267148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160982640).

116267148 is an abundant number, since it is smaller than the sum of its proper divisors (205698132).

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

116267148 is a wasteful number, since it uses less digits than its factorization.

116267148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607 (or 6602 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 116267148 is about 10782.7245165589. The cubic root of 116267148 is about 488.0740000206.

The spelling of 116267148 in words is "one hundred sixteen million, two hundred sixty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 348 493 522 612 986 1044 1479 1972 2958 4437 5916 6551 8874 13102 17748 19653 26204 39306 58959 78612 111367 117918 189979 222734 235836 334101 379958 445468 569937 668202 759916 1002303 1139874 1336404 1709811 2004606 2279748 3229643 3419622 4009212 6459286 6839244 9688929 12918572 19377858 29066787 38755716 58133574 116267148