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30116772 = 223473271
BaseRepresentation
bin111001011100…
…0101110100100
32002200002110000
41302320232210
530202214042
62553301300
7513663000
oct162705644
962602400
1030116772
11160001a4
12a104830
13631619a
143ddd700
15299d74c
hex1cb8ba4

30116772 has 120 divisors (see below), whose sum is σ = 92153600. Its totient is φ = 8573040.

The previous prime is 30116759. The next prime is 30116783. The reversal of 30116772 is 27761103.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110997 + ... + 111267.

Almost surely, 230116772 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 30116772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46076800).

30116772 is an abundant number, since it is smaller than the sum of its proper divisors (62036828).

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

30116772 is a wasteful number, since it uses less digits than its factorization.

30116772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 30116772 is about 5487.8749985764. The cubic root of 30116772 is about 311.1258817061.

Adding to 30116772 its reverse (27761103), we get a palindrome (57877875).

The spelling of 30116772 in words is "thirty million, one hundred sixteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 271 294 324 343 378 441 542 567 588 686 756 813 882 1029 1084 1134 1323 1372 1626 1764 1897 2058 2268 2439 2646 3087 3252 3794 3969 4116 4878 5292 5691 6174 7317 7588 7938 9261 9756 11382 12348 13279 14634 15876 17073 18522 21951 22764 26558 27783 29268 34146 37044 39837 43902 51219 53116 55566 68292 79674 87804 92953 102438 111132 119511 153657 159348 185906 204876 239022 278859 307314 358533 371812 478044 557718 614628 717066 836577 1075599 1115436 1434132 1673154 2151198 2509731 3346308 4302396 5019462 7529193 10038924 15058386 30116772