Search a number
-
+
117299620 = 22537293541
BaseRepresentation
bin1101111110111…
…01100110100100
322011201102211101
412333131212210
5220012041440
615350045444
72623013254
oct677354644
9264642741
10117299620
1160237a39
1233349884
131b3bca79
1411815964
15a47069a
hex6fdd9a4

117299620 has 48 divisors (see below), whose sum is σ = 254319408. Its totient is φ = 45411840.

The previous prime is 117299617. The next prime is 117299621. The reversal of 117299620 is 26992711.

It can be written as a sum of positive squares in 8 ways, for example, as 16176484 + 101123136 = 4022^2 + 10056^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 117299620.

It is not an unprimeable number, because it can be changed into a prime (117299621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216550 + ... + 217090.

It is an arithmetic number, because the mean of its divisors is an integer number (5298321).

Almost surely, 2117299620 is an apocalyptic number.

117299620 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 117299620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127159704).

117299620 is an abundant number, since it is smaller than the sum of its proper divisors (137019788).

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

117299620 is a wasteful number, since it uses less digits than its factorization.

117299620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 117299620 is about 10830.4949102061. The cubic root of 117299620 is about 489.5144711637.

The spelling of 117299620 in words is "one hundred seventeen million, two hundred ninety-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 293 370 541 586 740 1082 1172 1465 2164 2705 2930 5410 5860 10820 10841 20017 21682 40034 43364 54205 80068 100085 108410 158513 200170 216820 317026 400340 634052 792565 1585130 3170260 5864981 11729962 23459924 29324905 58649810 117299620