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117775616 = 287241229
BaseRepresentation
bin1110000010100…
…01110100000000
322012121121202212
413001101310000
5220122304431
615404201252
72630035100
oct701216400
9265547685
10117775616
1160532622
1233539228
131b52861a
14118db200
15a51672b
hex7051d00

117775616 has 108 divisors (see below), whose sum is σ = 281366820. Its totient is φ = 49029120.

The previous prime is 117775613. The next prime is 117775631. The reversal of 117775616 is 616577711.

It can be written as a sum of positive squares in 2 ways, for example, as 56310016 + 61465600 = 7504^2 + 7840^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117775613) 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, 514190 + ... + 514418.

Almost surely, 2117775616 is an apocalyptic number.

117775616 is a gapful number since it is divisible by the number (16) 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 117775616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140683410).

117775616 is an abundant number, since it is smaller than the sum of its proper divisors (163591204).

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

117775616 is an equidigital number, since it uses as much as digits as its factorization.

117775616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 279 counting only the distinct ones).

The product of its digits is 61740, while the sum is 41.

The square root of 117775616 is about 10852.4474658945. The cubic root of 117775616 is about 490.1757192906.

The spelling of 117775616 in words is "one hundred seventeen million, seven hundred seventy-five thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 64 82 98 112 128 164 196 224 229 256 287 328 392 448 458 574 656 784 896 916 1148 1312 1568 1603 1792 1832 2009 2296 2624 3136 3206 3664 4018 4592 5248 6272 6412 7328 8036 9184 9389 10496 11221 12544 12824 14656 16072 18368 18778 22442 25648 29312 32144 36736 37556 44884 51296 58624 64288 65723 73472 75112 89768 102592 128576 131446 150224 179536 205184 257152 262892 300448 359072 410368 460061 514304 525784 600896 718144 920122 1051568 1201792 1436288 1840244 2103136 2403584 2872576 3680488 4206272 7360976 8412544 14721952 16825088 29443904 58887808 117775616