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30107616 = 2537114073
BaseRepresentation
bin111001011011…
…0011111100000
32002122121212220
41302312133200
530201420431
62553151040
7513624210
oct162663740
962577786
1030107616
1115aa4330
12a0bb480
136311c76
143dda240
15299ab96
hex1cb67e0

30107616 has 96 divisors (see below), whose sum is σ = 98558208. Its totient is φ = 7818240.

The previous prime is 30107591. The next prime is 30107633. The reversal of 30107616 is 61670103.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5356 + ... + 9428.

It is an arithmetic number, because the mean of its divisors is an integer number (1026648).

Almost surely, 230107616 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 30107616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49279104).

30107616 is an abundant number, since it is smaller than the sum of its proper divisors (68450592).

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

30107616 is a wasteful number, since it uses less digits than its factorization.

30107616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 30107616 is about 5487.0407324896. The cubic root of 30107616 is about 311.0943493615.

Adding to 30107616 its reverse (61670103), we get a palindrome (91777719).

The spelling of 30107616 in words is "thirty million, one hundred seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 4073 7392 8146 12219 16292 24438 28511 32584 44803 48876 57022 65168 85533 89606 97752 114044 130336 134409 171066 179212 195504 228088 268818 313621 342132 358424 391008 456176 537636 627242 684264 716848 912352 940863 1075272 1254484 1368528 1433696 1881726 2150544 2508968 2737056 3763452 4301088 5017936 7526904 10035872 15053808 30107616