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117610948 = 22713973331
BaseRepresentation
bin1110000001010…
…01100111000100
322012022020220001
413000221213010
5220102022243
615400451044
72625451030
oct700514704
9265266801
10117610948
116042a934
1233479a84
131b49b6a0
14118971c0
15a4d2a4d
hex70299c4

117610948 has 48 divisors (see below), whose sum is σ = 256004224. Its totient is φ = 46033920.

The previous prime is 117610903. The next prime is 117610963. The reversal of 117610948 is 849016711.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33643 + ... + 36973.

Almost surely, 2117610948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117610948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128002112).

117610948 is an abundant number, since it is smaller than the sum of its proper divisors (138393276).

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

117610948 is a wasteful number, since it uses less digits than its factorization.

117610948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The square root of 117610948 is about 10844.8581364626. The cubic root of 117610948 is about 489.9471663151.

It can be divided in two parts, 117 and 610948, that added together give a triangular number (611065 = T1105).

The spelling of 117610948 in words is "one hundred seventeen million, six hundred ten thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 97 182 194 364 388 679 1261 1358 2522 2716 3331 5044 6662 8827 13324 17654 23317 35308 43303 46634 86606 93268 173212 303121 323107 606242 646214 1212484 1292428 2261749 4200391 4523498 8400782 9046996 16801564 29402737 58805474 117610948