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109377216 = 263513541
BaseRepresentation
bin1101000010011…
…11011011000000
321121210221100000
412201033123000
5211000032331
614504200000
72465456004
oct641173300
9247727300
10109377216
11568167a3
1230769000
1319877a60
1410752704
1599080e6
hex684f6c0

109377216 has 168 divisors, whose sum is σ = 350778064. Its totient is φ = 33592320.

The previous prime is 109377211. The next prime is 109377221. The reversal of 109377216 is 612773901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (109377211) and next prime (109377221).

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 (109377211) 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, 201906 + ... + 202446.

Almost surely, 2109377216 is an apocalyptic number.

109377216 is a gapful number since it is divisible by the number (16) 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 109377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175389032).

109377216 is an abundant number, since it is smaller than the sum of its proper divisors (241400848).

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

109377216 is an equidigital number, since it uses as much as digits as its factorization.

109377216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 109377216 is about 10458.3562762033. The cubic root of 109377216 is about 478.2360254279.

The spelling of 109377216 in words is "one hundred nine million, three hundred seventy-seven thousand, two hundred sixteen".