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115616214 = 23372953199
BaseRepresentation
bin1101110010000…
…10100111010110
322001112220122000
412321002213112
5214044204324
615250020130
72602502340
oct671024726
9261486560
10115616214
115a29819a
1232877646
131ac5077c
14114d8290
15a23b9c9
hex6e429d6

115616214 has 128 divisors (see below), whose sum is σ = 311040000. Its totient is φ = 31135104.

The previous prime is 115616177. The next prime is 115616227. The reversal of 115616214 is 412616511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 580887 + ... + 581085.

It is an arithmetic number, because the mean of its divisors is an integer number (2430000).

Almost surely, 2115616214 is an apocalyptic number.

115616214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115616214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520000).

115616214 is an abundant number, since it is smaller than the sum of its proper divisors (195423786).

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

115616214 is a wasteful number, since it uses less digits than its factorization.

115616214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 115616214 is about 10752.4980353404. The cubic root of 115616214 is about 487.1614501518.

The spelling of 115616214 in words is "one hundred fifteen million, six hundred sixteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 53 54 58 63 87 106 126 159 174 189 199 203 261 318 371 378 398 406 477 522 597 609 742 783 954 1113 1194 1218 1393 1431 1537 1566 1791 1827 2226 2786 2862 3074 3339 3582 3654 4179 4611 5373 5481 5771 6678 8358 9222 10017 10547 10746 10759 10962 11542 12537 13833 17313 20034 21094 21518 25074 27666 31641 32277 34626 37611 40397 41499 51939 63282 64554 73829 75222 80794 82998 94923 96831 103878 121191 147658 155817 189846 193662 221487 242382 284769 290493 305863 311634 363573 442974 569538 580986 611726 664461 727146 917589 1090719 1328922 1835178 1993383 2141041 2181438 2752767 3986766 4282082 5505534 6423123 8258301 12846246 16516602 19269369 38538738 57808107 115616214