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109022976 = 283315773
BaseRepresentation
bin1100111111110…
…00111100000000
321121010221102000
412133320330000
5210402213401
614452424000
72462452146
oct637707400
9247127360
10109022976
11565a4637
1230618000
131978274a
141069d596
159888186
hex67f8f00

109022976 has 72 divisors (see below), whose sum is σ = 322420560. Its totient is φ = 36338688.

The previous prime is 109022951. The next prime is 109022987. The reversal of 109022976 is 679220901.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 109022976.

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, 975 + ... + 14798.

Almost surely, 2109022976 is an apocalyptic number.

109022976 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 109022976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161210280).

109022976 is an abundant number, since it is smaller than the sum of its proper divisors (213397584).

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

109022976 is an equidigital number, since it uses as much as digits as its factorization.

109022976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15798 (or 15778 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 109022976 is about 10441.4068017677. The cubic root of 109022976 is about 477.7191793686.

The spelling of 109022976 in words is "one hundred nine million, twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 15773 31546 47319 63092 94638 126184 141957 189276 252368 283914 378552 425871 504736 567828 757104 851742 1009472 1135656 1514208 1703484 2018944 2271312 3028416 3406968 4037888 4542624 6056832 6813936 9085248 12113664 13627872 18170496 27255744 36340992 54511488 109022976