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30046770 = 23251361421
BaseRepresentation
bin111001010011…
…1101000110010
32002112112102100
41302213220302
530142444040
62552001230
7513251625
oct162475062
962475370
1030046770
1115a62646
12a090216
1362c0370
143dc1dbc
152987b30
hex1ca7a32

30046770 has 96 divisors (see below), whose sum is σ = 85713264. Its totient is φ = 7257600.

The previous prime is 30046729. The next prime is 30046789. The reversal of 30046770 is 7764003.

It can be written as a sum of positive squares in 8 ways, for example, as 594441 + 29452329 = 771^2 + 5427^2 .

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 71160 + ... + 71580.

Almost surely, 230046770 is an apocalyptic number.

30046770 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30046770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42856632).

30046770 is an abundant number, since it is smaller than the sum of its proper divisors (55666494).

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

30046770 is a wasteful number, since it uses less digits than its factorization.

30046770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 30046770 is about 5481.4934096467. The cubic root of 30046770 is about 310.8846392720.

The spelling of 30046770 in words is "thirty million, forty-six thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 61 65 78 90 117 122 130 183 195 234 305 366 390 421 549 585 610 793 842 915 1098 1170 1263 1586 1830 2105 2379 2526 2745 3789 3965 4210 4758 5473 5490 6315 7137 7578 7930 10946 11895 12630 14274 16419 18945 23790 25681 27365 32838 35685 37890 49257 51362 54730 71370 77043 82095 98514 128405 154086 164190 231129 246285 256810 333853 385215 462258 492570 667706 770430 1001559 1155645 1669265 2003118 2311290 3004677 3338530 5007795 6009354 10015590 15023385 30046770