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116201272 = 23111677907
BaseRepresentation
bin1101110110100…
…01011100111000
322002122122011211
412323101130320
5214221420042
615310332504
72610460135
oct673213470
9262578154
10116201272
115a657810
1232aba134
131b0c6b65
141160b58c
15a305017
hex6ed1738

116201272 has 32 divisors (see below), whose sum is σ = 239137920. Its totient is φ = 52495840.

The previous prime is 116201269. The next prime is 116201291. The reversal of 116201272 is 272102611.

It is a happy number.

It is a super-2 number, since 2×1162012722 = 27005471228835968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10743 + ... + 18649.

It is an arithmetic number, because the mean of its divisors is an integer number (7473060).

Almost surely, 2116201272 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 116201272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119568960).

116201272 is an abundant number, since it is smaller than the sum of its proper divisors (122936648).

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

116201272 is a wasteful number, since it uses less digits than its factorization.

116201272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8091 (or 8087 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 116201272 is about 10779.6693826852. The cubic root of 116201272 is about 487.9818030481.

Adding to 116201272 its reverse (272102611), we get a palindrome (388303883).

It can be divided in two parts, 1162012 and 72, that added together give a square (1162084 = 10782).

The spelling of 116201272 in words is "one hundred sixteen million, two hundred one thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 167 334 668 1336 1837 3674 7348 7907 14696 15814 31628 63256 86977 173954 347908 695816 1320469 2640938 5281876 10563752 14525159 29050318 58100636 116201272