Search a number
-
+
116717952 = 27313103227
BaseRepresentation
bin1101111010011…
…11100110000000
322010121212221010
412331033212000
5214334433302
615325400520
72615041401
oct675174600
9263555833
10116717952
115a97aa1a
1233109140
131b2480a0
14117039a8
15a3a816c
hex6f4f980

116717952 has 128 divisors (see below), whose sum is σ = 338607360. Its totient is φ = 35407872.

The previous prime is 116717947. The next prime is 116717957. The reversal of 116717952 is 259717611.

It is an interprime number because it is at equal distance from previous prime (116717947) and next prime (116717957).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 116717952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116717957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514063 + ... + 514289.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2116717952 is an apocalyptic number.

116717952 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 116717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169303680).

116717952 is an abundant number, since it is smaller than the sum of its proper divisors (221889408).

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

116717952 is a wasteful number, since it uses less digits than its factorization.

116717952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 348 counting only the distinct ones).

The product of its digits is 26460, while the sum is 39.

The square root of 116717952 is about 10803.6082861237. The cubic root of 116717952 is about 488.7039915439.

The spelling of 116717952 in words is "one hundred sixteen million, seven hundred seventeen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 103 104 128 156 192 206 208 227 309 312 384 412 416 454 618 624 681 824 832 908 1236 1248 1339 1362 1648 1664 1816 2472 2496 2678 2724 2951 3296 3632 4017 4944 4992 5356 5448 5902 6592 7264 8034 8853 9888 10712 10896 11804 13184 14528 16068 17706 19776 21424 21792 23381 23608 29056 32136 35412 39552 42848 43584 46762 47216 64272 70143 70824 85696 87168 93524 94432 128544 140286 141648 171392 187048 188864 257088 280572 283296 303953 374096 377728 514176 561144 566592 607906 748192 911859 1122288 1133184 1215812 1496384 1823718 2244576 2431624 2992768 3647436 4489152 4863248 7294872 8978304 9726496 14589744 19452992 29179488 38905984 58358976 116717952