Search a number
-
+
30870792 = 23323113831
BaseRepresentation
bin111010111000…
…0110100001000
32011002101202200
41311300310020
530400331132
63021400200
7523253211
oct165606410
964071680
1030870792
1116475757
12a409060
13651b454
144158408
152a9bd7c
hex1d70d08

30870792 has 48 divisors (see below), whose sum is σ = 86311680. Its totient is φ = 9957600.

The previous prime is 30870787. The next prime is 30870799. The reversal of 30870792 is 29707803.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30870799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4684 + ... + 9147.

It is an arithmetic number, because the mean of its divisors is an integer number (1798160).

Almost surely, 230870792 is an apocalyptic number.

It is an amenable number.

30870792 is an abundant number, since it is smaller than the sum of its proper divisors (55440888).

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

30870792 is a wasteful number, since it uses less digits than its factorization.

30870792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13874 (or 13867 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 30870792 is about 5556.1490260791. The cubic root of 30870792 is about 313.7010149818.

The spelling of 30870792 in words is "thirty million, eight hundred seventy thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 13831 27662 41493 55324 82986 110648 124479 165972 248958 331944 428761 497916 857522 995832 1286283 1715044 2572566 3430088 3858849 5145132 7717698 10290264 15435396 30870792