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117021072 = 2437595903
BaseRepresentation
bin1101111100110…
…01100110010000
322011012021201210
412332121212100
5214424133242
615340100120
72620443210
oct676314620
9264167653
10117021072
1160067733
1233234640
131b32304c
1411782240
15a417d9c
hex6f99990

117021072 has 80 divisors (see below), whose sum is σ = 351406080. Its totient is φ = 32862336.

The previous prime is 117021067. The next prime is 117021077. The reversal of 117021072 is 270120711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (117021067) and next prime (117021077).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (117021077) 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, 16873 + ... + 22775.

It is an arithmetic number, because the mean of its divisors is an integer number (4392576).

Almost surely, 2117021072 is an apocalyptic number.

117021072 is a gapful number since it is divisible by the number (12) 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 117021072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175703040).

117021072 is an abundant number, since it is smaller than the sum of its proper divisors (234385008).

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

117021072 is a wasteful number, since it uses less digits than its factorization.

117021072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980 (or 5974 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

The square root of 117021072 is about 10817.6278360831. The cubic root of 117021072 is about 489.1266854490.

Adding to 117021072 its reverse (270120711), we get a palindrome (387141783).

The spelling of 117021072 in words is "one hundred seventeen million, twenty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 826 944 1239 1416 1652 2478 2832 3304 4956 5903 6608 9912 11806 17709 19824 23612 35418 41321 47224 70836 82642 94448 123963 141672 165284 247926 283344 330568 348277 495852 661136 696554 991704 1044831 1393108 1983408 2089662 2437939 2786216 4179324 4875878 5572432 7313817 8358648 9751756 14627634 16717296 19503512 29255268 39007024 58510536 117021072