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107697360 = 24351632753
BaseRepresentation
bin1100110101101…
…01010011010000
321111122121000010
412122311103100
5210032303420
614404154520
72445261321
oct632652320
9244577003
10107697360
1155879691
1230098a40
131940a264
1410436448
1596c54e0
hex66b54d0

107697360 has 80 divisors (see below), whose sum is σ = 336032064. Its totient is φ = 28532736.

The previous prime is 107697347. The next prime is 107697367. The reversal of 107697360 is 63796701.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107697367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37744 + ... + 40496.

Almost surely, 2107697360 is an apocalyptic number.

107697360 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 107697360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168016032).

107697360 is an abundant number, since it is smaller than the sum of its proper divisors (228334704).

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

107697360 is a wasteful number, since it uses less digits than its factorization.

107697360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 107697360 is about 10377.7338566760. The cubic root of 107697360 is about 475.7750743925.

The spelling of 107697360 in words is "one hundred seven million, six hundred ninety-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 163 240 326 489 652 815 978 1304 1630 1956 2445 2608 2753 3260 3912 4890 5506 6520 7824 8259 9780 11012 13040 13765 16518 19560 22024 27530 33036 39120 41295 44048 55060 66072 82590 110120 132144 165180 220240 330360 448739 660720 897478 1346217 1794956 2243695 2692434 3589912 4487390 5384868 6731085 7179824 8974780 10769736 13462170 17949560 21539472 26924340 35899120 53848680 107697360