Search a number
-
+
30967056 = 243397739
BaseRepresentation
bin111011000100…
…0010100010000
32011021021211000
41312020110100
530411421211
63023422000
7524133651
oct166102420
964237730
1030967056
111653100a
12a454900
136553203
144181528
152aba656
hex1d88510

30967056 has 80 divisors (see below), whose sum is σ = 89924800. Its totient is φ = 10202112.

The previous prime is 30967049. The next prime is 30967061. The reversal of 30967056 is 65076903.

It is a happy number.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 30967056.

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, 41535 + ... + 42273.

It is an arithmetic number, because the mean of its divisors is an integer number (1124060).

Almost surely, 230967056 is an apocalyptic number.

30967056 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 30967056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44962400).

30967056 is an abundant number, since it is smaller than the sum of its proper divisors (58957744).

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

30967056 is a wasteful number, since it uses less digits than its factorization.

30967056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 30967056 is about 5564.8051178815. The cubic root of 30967056 is about 314.0267466094.

The spelling of 30967056 in words is "thirty million, nine hundred sixty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 97 108 144 194 216 291 388 432 582 739 776 873 1164 1478 1552 1746 2217 2328 2619 2956 3492 4434 4656 5238 5912 6651 6984 8868 10476 11824 13302 13968 17736 19953 20952 26604 35472 39906 41904 53208 71683 79812 106416 143366 159624 215049 286732 319248 430098 573464 645147 860196 1146928 1290294 1720392 1935441 2580588 3440784 3870882 5161176 7741764 10322352 15483528 30967056