Search a number
-
+
117785970 = 23251936781
BaseRepresentation
bin1110000010101…
…00010101110010
322012122010222100
413001110111302
5220123122340
615404321230
72630110221
oct701242562
9265563870
10117785970
116053a385
1233543216
131b530253
1411900cb8
15a519830
hex7054572

117785970 has 48 divisors (see below), whose sum is σ = 307875672. Its totient is φ = 31242240.

The previous prime is 117785951. The next prime is 117785977. The reversal of 117785970 is 79587711.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76685049 + 41100921 = 8757^2 + 6411^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (117785977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13980 + ... + 20760.

Almost surely, 2117785970 is an apocalyptic number.

117785970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117785970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153937836).

117785970 is an abundant number, since it is smaller than the sum of its proper divisors (190089702).

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

117785970 is a wasteful number, since it uses less digits than its factorization.

117785970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6987 (or 6984 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 45.

The square root of 117785970 is about 10852.9244906615. The cubic root of 117785970 is about 490.1900831316.

The spelling of 117785970 in words is "one hundred seventeen million, seven hundred eighty-five thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 193 386 579 965 1158 1737 1930 2895 3474 5790 6781 8685 13562 17370 20343 33905 40686 61029 67810 101715 122058 203430 305145 610290 1308733 2617466 3926199 6543665 7852398 11778597 13087330 19630995 23557194 39261990 58892985 117785970