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30168936 = 23367739
BaseRepresentation
bin111001100010…
…1011101101000
32002202202000000
41303011131220
530210401221
62554343000
7514301040
oct163053550
962682000
1030168936
1116036406
12a12aa60
136333b55
144014720
1529ade26
hex1cc5768

30168936 has 112 divisors (see below), whose sum is σ = 97058400. Its totient is φ = 8608032.

The previous prime is 30168913. The next prime is 30168947. The reversal of 30168936 is 63986103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30168936.

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 40455 + ... + 41193.

Almost surely, 230168936 is an apocalyptic number.

30168936 is a gapful number since it is divisible by the number (36) 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 30168936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48529200).

30168936 is an abundant number, since it is smaller than the sum of its proper divisors (66889464).

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

30168936 is an equidigital number, since it uses as much as digits as its factorization.

30168936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 30168936 is about 5492.6256016590. The cubic root of 30168936 is about 311.3054074680.

The spelling of 30168936 in words is "thirty million, one hundred sixty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 739 756 972 1134 1458 1478 1512 1701 1944 2217 2268 2916 2956 3402 4434 4536 5103 5173 5832 5912 6651 6804 8868 10206 10346 13302 13608 15519 17736 19953 20412 20692 26604 31038 39906 40824 41384 46557 53208 59859 62076 79812 93114 119718 124152 139671 159624 179577 186228 239436 279342 359154 372456 419013 478872 538731 558684 718308 838026 1077462 1117368 1257039 1436616 1676052 2154924 2514078 3352104 3771117 4309848 5028156 7542234 10056312 15084468 30168936