Search a number
-
+
117935232 = 2731971559
BaseRepresentation
bin1110000011110…
…00110010000000
322012220201201120
413001320302000
5220142411412
615411432240
72631301332
oct701706200
9265821646
10117935232
1160631538
12335b5680
131b58317c
141193d452
15a548b8c
hex7078c80

117935232 has 64 divisors (see below), whose sum is σ = 315057600. Its totient is φ = 39087104.

The previous prime is 117935221. The next prime is 117935263. The reversal of 117935232 is 232539711.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 117935193 and 117935202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74869 + ... + 76427.

It is an arithmetic number, because the mean of its divisors is an integer number (4922775).

Almost surely, 2117935232 is an apocalyptic number.

117935232 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 117935232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157528800).

117935232 is an abundant number, since it is smaller than the sum of its proper divisors (197122368).

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

117935232 is a wasteful number, since it uses less digits than its factorization.

117935232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1761 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 117935232 is about 10859.7988931656. The cubic root of 117935232 is about 490.3970570396.

The spelling of 117935232 in words is "one hundred seventeen million, nine hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 197 384 394 591 788 1182 1559 1576 2364 3118 3152 4677 4728 6236 6304 9354 9456 12472 12608 18708 18912 24944 25216 37416 37824 49888 74832 75648 99776 149664 199552 299328 307123 598656 614246 921369 1228492 1842738 2456984 3685476 4913968 7370952 9827936 14741904 19655872 29483808 39311744 58967616 117935232