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109870272 = 2632535961
BaseRepresentation
bin1101000110001…
…11110011000000
321122201222200100
412203013303000
5211111322042
614522522400
72502611331
oct643076300
9248658610
10109870272
1157023186
1230966400
13199bb2c5
1410840288
1599a424c
hex68c7cc0

109870272 has 168 divisors, whose sum is σ = 331652880. Its totient is φ = 34744320.

The previous prime is 109870261. The next prime is 109870273. The reversal of 109870272 is 272078901.

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

It is not an unprimeable number, because it can be changed into a prime (109870273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1801122 + ... + 1801182.

Almost surely, 2109870272 is an apocalyptic number.

109870272 is a gapful number since it is divisible by the number (12) 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 109870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165826440).

109870272 is an abundant number, since it is smaller than the sum of its proper divisors (221782608).

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

109870272 is a wasteful number, since it uses less digits than its factorization.

109870272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 109870272 is about 10481.9021174594. The cubic root of 109870272 is about 478.9535536370.

It can be divided in two parts, 1098 and 70272, that multiplied together give a square (77158656 = 87842).

The spelling of 109870272 in words is "one hundred nine million, eight hundred seventy thousand, two hundred seventy-two".