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30769056 = 2532195623
BaseRepresentation
bin111010101011…
…1111110100000
32010220020012200
41311113332200
530334102211
63015253200
7522350463
oct165277640
963806180
1030769056
111640627a
12a37a200
1364b4056
14412d2da
152a7bb56
hex1d57fa0

30769056 has 72 divisors (see below), whose sum is σ = 92121120. Its totient is φ = 9714816.

The previous prime is 30769051. The next prime is 30769061. The reversal of 30769056 is 65096703.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30769051) and next prime (30769061).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×307690562 = 1893469614262272, which contains 22 as substring.

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 30769056.

It is not an unprimeable number, because it can be changed into a prime (30769051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2661 + ... + 8283.

It is an arithmetic number, because the mean of its divisors is an integer number (1279460).

Almost surely, 230769056 is an apocalyptic number.

30769056 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 30769056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46060560).

30769056 is an abundant number, since it is smaller than the sum of its proper divisors (61352064).

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

30769056 is a wasteful number, since it uses less digits than its factorization.

30769056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658 (or 5647 counting only the distinct ones).

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

The square root of 30769056 is about 5546.9862087443. The cubic root of 30769056 is about 313.3560307485.

The spelling of 30769056 in words is "thirty million, seven hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 5623 11246 16869 22492 33738 44984 50607 67476 89968 101214 106837 134952 179936 202428 213674 269904 320511 404856 427348 539808 641022 809712 854696 961533 1282044 1619424 1709392 1923066 2564088 3418784 3846132 5128176 7692264 10256352 15384528 30769056