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109316416 = 2611315009
BaseRepresentation
bin1101000010000…
…00100101000000
321121200211221011
412201000211000
5210441111131
614503010304
72465113516
oct641004500
9247624834
10109316416
1156785050
1230739994
1319856191
14107384b6
1598e50b1
hex6840940

109316416 has 56 divisors (see below), whose sum is σ = 244327680. Its totient is φ = 48076800.

The previous prime is 109316413. The next prime is 109316419. The reversal of 109316416 is 614613901.

It is an interprime number because it is at equal distance from previous prime (109316413) and next prime (109316419).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109316413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19320 + ... + 24328.

Almost surely, 2109316416 is an apocalyptic number.

109316416 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 109316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122163840).

109316416 is an abundant number, since it is smaller than the sum of its proper divisors (135011264).

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

109316416 is a wasteful number, since it uses less digits than its factorization.

109316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 109316416 is about 10455.4491056100. The cubic root of 109316416 is about 478.1473959407.

The spelling of 109316416 in words is "one hundred nine million, three hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 992 1364 1984 2728 5009 5456 10018 10912 20036 21824 40072 55099 80144 110198 155279 160288 220396 310558 320576 440792 621116 881584 1242232 1708069 1763168 2484464 3416138 3526336 4968928 6832276 9937856 13664552 27329104 54658208 109316416