Search a number
-
+
117006948 = 22324179273
BaseRepresentation
bin1101111100101…
…10001001100100
322011011120100200
412332112021210
5214423210243
615335510500
72620354062
oct676261144
9264146320
10117006948
1160058063
1233228430
131b3197a6
141177b032
15a413ad3
hex6f96264

117006948 has 36 divisors (see below), whose sum is σ = 302985228. Its totient is φ = 38050560.

The previous prime is 117006947. The next prime is 117007001. The reversal of 117006948 is 849600711.

It can be written as a sum of positive squares in 2 ways, for example, as 11985444 + 105021504 = 3462^2 + 10248^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117006943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38161 + ... + 41112.

Almost surely, 2117006948 is an apocalyptic number.

117006948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

117006948 is an abundant number, since it is smaller than the sum of its proper divisors (185978280).

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

117006948 is a wasteful number, since it uses less digits than its factorization.

117006948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79324 (or 79319 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 117006948 is about 10816.9749930376. The cubic root of 117006948 is about 489.1070060781.

The spelling of 117006948 in words is "one hundred seventeen million, six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 79273 158546 237819 317092 475638 713457 951276 1426914 2853828 3250193 6500386 9750579 13000772 19501158 29251737 39002316 58503474 117006948