Search a number
-
+
30556020 = 22351167691
BaseRepresentation
bin111010010001…
…1111101110100
32010111101222110
41310203331310
530310243040
63010531020
7520502415
oct164437564
963441873
1030556020
1116280210
12a296a70
13643b0b1
1440b580c
152a38980
hex1d23f74

30556020 has 96 divisors (see below), whose sum is σ = 94864896. Its totient is φ = 7286400.

The previous prime is 30555977. The next prime is 30556081. The reversal of 30556020 is 2065503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43875 + ... + 44565.

It is an arithmetic number, because the mean of its divisors is an integer number (988176).

Almost surely, 230556020 is an apocalyptic number.

30556020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30556020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47432448).

30556020 is an abundant number, since it is smaller than the sum of its proper divisors (64308876).

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

30556020 is a wasteful number, since it uses less digits than its factorization.

30556020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 30556020 is about 5527.7499943467. The cubic root of 30556020 is about 312.6311598763.

The spelling of 30556020 in words is "thirty million, five hundred fifty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 67 110 132 134 165 201 220 268 330 335 402 660 670 691 737 804 1005 1340 1382 1474 2010 2073 2211 2764 2948 3455 3685 4020 4146 4422 6910 7370 7601 8292 8844 10365 11055 13820 14740 15202 20730 22110 22803 30404 38005 41460 44220 45606 46297 76010 91212 92594 114015 138891 152020 185188 228030 231485 277782 456060 462970 509267 555564 694455 925940 1018534 1388910 1527801 2037068 2546335 2777820 3055602 5092670 6111204 7639005 10185340 15278010 30556020