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30992000 = 275313149
BaseRepresentation
bin111011000111…
…0011010000000
32011022120000212
41312032122000
530413221000
63024133252
7524266454
oct166163200
964276025
1030992000
1116548826
12a467228
136561680
14418a664
152ac2c35
hex1d8e680

30992000 has 128 divisors (see below), whose sum is σ = 83538000. Its totient is φ = 11366400.

The previous prime is 30991993. The next prime is 30992009. The reversal of 30992000 is 29903.

It can be written as a sum of positive squares in 8 ways, for example, as 1658944 + 29333056 = 1288^2 + 5416^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (30992009) 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 15 ways as a sum of consecutive naturals, for example, 207926 + ... + 208074.

Almost surely, 230992000 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 30992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41769000).

30992000 is an abundant number, since it is smaller than the sum of its proper divisors (52546000).

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

30992000 is a wasteful number, since it uses less digits than its factorization.

30992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 30992000 is about 5567.0458952662. The cubic root of 30992000 is about 314.1110402850. Note that the first 3 decimals are identical.

The spelling of 30992000 in words is "thirty million, nine hundred ninety-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 149 160 200 208 250 260 298 320 325 400 416 500 520 596 640 650 745 800 832 1000 1040 1192 1300 1490 1600 1625 1664 1937 2000 2080 2384 2600 2980 3200 3250 3725 3874 4000 4160 4768 5200 5960 6500 7450 7748 8000 8320 9536 9685 10400 11920 13000 14900 15496 16000 18625 19072 19370 20800 23840 26000 29800 30992 37250 38740 41600 47680 48425 52000 59600 61984 74500 77480 95360 96850 104000 119200 123968 149000 154960 193700 208000 238400 242125 247936 298000 309920 387400 476800 484250 596000 619840 774800 968500 1192000 1239680 1549600 1937000 2384000 3099200 3874000 6198400 7748000 15496000 30992000