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30492720 = 2433519743
BaseRepresentation
bin111010001010…
…0100000110000
32010101012011000
41310110200300
530301231340
63005322000
7520120026
oct164244060
963335130
1030492720
11162376a5
12a266300
13641833b
14409a716
152a24d30
hex1d14830

30492720 has 160 divisors (see below), whose sum is σ = 110707200. Its totient is φ = 7693056.

The previous prime is 30492689. The next prime is 30492727. The reversal of 30492720 is 2729403.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30492727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40669 + ... + 41411.

It is an arithmetic number, because the mean of its divisors is an integer number (691920).

Almost surely, 230492720 is an apocalyptic number.

30492720 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 30492720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55353600).

30492720 is an abundant number, since it is smaller than the sum of its proper divisors (80214480).

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

30492720 is a wasteful number, since it uses less digits than its factorization.

30492720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30492720 is about 5522.0213690278. The cubic root of 30492720 is about 312.4151278849.

The spelling of 30492720 in words is "thirty million, four hundred ninety-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 743 760 855 912 1026 1080 1140 1368 1486 1520 1710 2052 2160 2229 2280 2565 2736 2972 3420 3715 4104 4458 4560 5130 5944 6687 6840 7430 8208 8916 10260 11145 11888 13374 13680 14117 14860 17832 20061 20520 22290 26748 28234 29720 33435 35664 40122 41040 42351 44580 53496 56468 59440 66870 70585 80244 84702 89160 100305 106992 112936 127053 133740 141170 160488 169404 178320 200610 211755 225872 254106 267480 282340 320976 338808 381159 401220 423510 508212 534960 564680 635265 677616 762318 802440 847020 1016424 1129360 1270530 1524636 1604880 1694040 1905795 2032848 2541060 3049272 3388080 3811590 5082120 6098544 7623180 10164240 15246360 30492720