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30790128 = 2431797389
BaseRepresentation
bin111010101110…
…1000111110000
32010221022010010
41311131013300
530340241003
63015534520
7522466065
oct165350760
963838103
1030790128
1116420096
12a38a440
1364c0815
144136c6c
152a83003
hex1d5d1f0

30790128 has 80 divisors (see below), whose sum is σ = 85307040. Its totient is φ = 9535488.

The previous prime is 30790093. The next prime is 30790147. The reversal of 30790128 is 82109703.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30790095 and 30790104.

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, 78958 + ... + 79346.

It is an arithmetic number, because the mean of its divisors is an integer number (1066338).

Almost surely, 230790128 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 30790128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520).

30790128 is an abundant number, since it is smaller than the sum of its proper divisors (54516912).

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

30790128 is a wasteful number, since it uses less digits than its factorization.

30790128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 30790128 is about 5548.8852934621. The cubic root of 30790128 is about 313.4275477460.

The spelling of 30790128 in words is "thirty million, seven hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 97 102 136 194 204 272 291 388 389 408 582 776 778 816 1164 1167 1552 1556 1649 2328 2334 3112 3298 4656 4668 4947 6224 6596 6613 9336 9894 13192 13226 18672 19788 19839 26384 26452 37733 39576 39678 52904 75466 79152 79356 105808 113199 150932 158712 226398 301864 317424 452796 603728 641461 905592 1282922 1811184 1924383 2565844 3848766 5131688 7697532 10263376 15395064 30790128