Search a number
-
+
30806940 = 22353713877
BaseRepresentation
bin111010110000…
…1001110011100
32010222011011210
41311201032130
530341310230
63020144420
7522566103
oct165411634
963864153
1030806940
111643178a
12a398110
1364c8378
14413d03a
152a87eb0
hex1d6139c

30806940 has 48 divisors (see below), whose sum is σ = 88597152. Its totient is φ = 7992576.

The previous prime is 30806933. The next prime is 30806953. The reversal of 30806940 is 4960803.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30806898 and 30806907.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 4719 + ... + 9158.

It is an arithmetic number, because the mean of its divisors is an integer number (1845774).

Almost surely, 230806940 is an apocalyptic number.

30806940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30806940 is an abundant number, since it is smaller than the sum of its proper divisors (57790212).

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

30806940 is a wasteful number, since it uses less digits than its factorization.

30806940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13926 (or 13924 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 30806940 is about 5550.3999855866. The cubic root of 30806940 is about 313.4845831825.

The spelling of 30806940 in words is "thirty million, eight hundred six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 13877 27754 41631 55508 69385 83262 138770 166524 208155 277540 416310 513449 832620 1026898 1540347 2053796 2567245 3080694 5134490 6161388 7701735 10268980 15403470 30806940