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967428 = 2232711349
BaseRepresentation
bin11101100001100000100
31211011001200
43230030010
5221424203
632422500
711136330
oct3541404
91734050
10967428
11600930
123a7a30
1327b457
141b27c0
151419a3
hexec304

967428 has 72 divisors (see below), whose sum is σ = 3057600. Its totient is φ = 250560.

The previous prime is 967427. The next prime is 967429. The reversal of 967428 is 824769.

It is an interprime number because it is at equal distance from previous prime (967427) and next prime (967429).

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

It is a junction number, because it is equal to n+sod(n) for n = 967392 and 967401.

It is not an unprimeable number, because it can be changed into a prime (967427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2598 + ... + 2946.

2967428 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 967428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528800).

967428 is an abundant number, since it is smaller than the sum of its proper divisors (2090172).

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

967428 is a wasteful number, since it uses less digits than its factorization.

967428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 372 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 967428 is about 983.5791783075. The cubic root of 967428 is about 98.9022604389.

The spelling of 967428 in words is "nine hundred sixty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 349 396 462 693 698 924 1047 1386 1396 2094 2443 2772 3141 3839 4188 4886 6282 7329 7678 9772 11517 12564 14658 15356 21987 23034 26873 29316 34551 43974 46068 53746 69102 80619 87948 107492 138204 161238 241857 322476 483714 967428