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109349680 = 24511313397
BaseRepresentation
bin1101000010010…
…00101100110000
321121202112120011
412201020230300
5210443142210
614503424304
72465312506
oct641105460
9247675504
10109349680
11567a8040
1230755094
131986836b
1410746676
1598eed8a
hex6848b30

109349680 has 80 divisors (see below), whose sum is σ = 278937504. Its totient is φ = 39536640.

The previous prime is 109349671. The next prime is 109349687. The reversal of 109349680 is 86943901.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1093496802 = 23914705032204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (109349687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275242 + ... + 275638.

Almost surely, 2109349680 is an apocalyptic number.

109349680 is a gapful number since it is divisible by the number (10) 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 109349680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139468752).

109349680 is an abundant number, since it is smaller than the sum of its proper divisors (169587824).

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

109349680 is a wasteful number, since it uses less digits than its factorization.

109349680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 109349680 is about 10457.0397340739. The cubic root of 109349680 is about 478.1958896698.

The spelling of 109349680 in words is "one hundred nine million, three hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 313 397 440 626 794 880 1252 1565 1588 1985 2504 3130 3176 3443 3970 4367 5008 6260 6352 6886 7940 8734 12520 13772 15880 17215 17468 21835 25040 27544 31760 34430 34936 43670 55088 68860 69872 87340 124261 137720 174680 248522 275440 349360 497044 621305 994088 1242610 1366871 1988176 2485220 2733742 4970440 5467484 6834355 9940880 10934968 13668710 21869936 27337420 54674840 109349680