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106117488 = 2432736927
BaseRepresentation
bin1100101001100…
…11100101110000
321101200022211100
412110303211300
5204131224423
614310244400
72425661301
oct624634560
9241608740
10106117488
115499a704
122b656700
1318ca6119
14101447a8
1594b2343
hex6533970

106117488 has 30 divisors (see below), whose sum is σ = 296981984. Its totient is φ = 35372448.

The previous prime is 106117477. The next prime is 106117513. The reversal of 106117488 is 884711601.

It is a super-2 number, since 2×1061174882 = 22521842518860288, which contains 22 as substring.

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

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 368320 + ... + 368607.

Almost surely, 2106117488 is an apocalyptic number.

106117488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106117488 is an abundant number, since it is smaller than the sum of its proper divisors (190864496).

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

106117488 is a wasteful number, since it uses less digits than its factorization.

106117488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736941 (or 736932 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 106117488 is about 10301.3342825092. The cubic root of 106117488 is about 473.4371356466.

The spelling of 106117488 in words is "one hundred six million, one hundred seventeen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 736927 1473854 2210781 2947708 4421562 5895416 6632343 8843124 11790832 13264686 17686248 26529372 35372496 53058744 106117488