Search a number
-
+
30861972 = 223531751
BaseRepresentation
bin111010110111…
…0101010010100
32011001221200000
41311232222110
530400040342
63021251300
7523215411
oct165565224
964057600
1030861972
111646a069
12a403b30
13651742b
144155108
152a9944c
hex1d6ea94

30861972 has 36 divisors (see below), whose sum is σ = 80904096. Its totient is φ = 10287000.

The previous prime is 30861967. The next prime is 30861997. The reversal of 30861972 is 27916803.

30861972 is a `hidden beast` number, since 30 + 8 + 619 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×308619722 = 1904922631457568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14904 + ... + 16847.

It is an arithmetic number, because the mean of its divisors is an integer number (2247336).

Almost surely, 230861972 is an apocalyptic number.

It is an amenable number.

30861972 is an abundant number, since it is smaller than the sum of its proper divisors (50042124).

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

30861972 is a wasteful number, since it uses less digits than its factorization.

30861972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31770 (or 31756 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 30861972 is about 5555.3552541669. The cubic root of 30861972 is about 313.6711366154.

The spelling of 30861972 in words is "thirty million, eight hundred sixty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 31751 63502 95253 127004 190506 285759 381012 571518 857277 1143036 1714554 2571831 3429108 5143662 7715493 10287324 15430986 30861972