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30120640 = 2651143199
BaseRepresentation
bin111001011100…
…1101011000000
32002200021202021
41302321223000
530202330030
62553331224
7514010164
oct162715300
962607667
1030120640
11160030a0
12a106b14
136317b84
144000ca4
15299e97a
hex1cb9ac0

30120640 has 112 divisors (see below), whose sum is σ = 80467200. Its totient is φ = 10644480.

The previous prime is 30120613. The next prime is 30120667. The reversal of 30120640 is 4602103.

It is an interprime number because it is at equal distance from previous prime (30120613) and next prime (30120667).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151261 + ... + 151459.

Almost surely, 230120640 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 30120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40233600).

30120640 is an abundant number, since it is smaller than the sum of its proper divisors (50346560).

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

30120640 is a wasteful number, since it uses less digits than its factorization.

30120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 30120640 is about 5488.2274005365. The cubic root of 30120640 is about 311.1392007895.

Adding to 30120640 its reverse (4602103), we get a palindrome (34722743).

The spelling of 30120640 in words is "thirty million, one hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 160 172 176 199 215 220 320 344 352 398 430 440 473 688 704 796 860 880 946 995 1376 1592 1720 1760 1892 1990 2189 2365 2752 3184 3440 3520 3784 3980 4378 4730 6368 6880 7568 7960 8557 8756 9460 10945 12736 13760 15136 15920 17114 17512 18920 21890 30272 31840 34228 35024 37840 42785 43780 63680 68456 70048 75680 85570 87560 94127 136912 140096 151360 171140 175120 188254 273824 342280 350240 376508 470635 547648 684560 700480 753016 941270 1369120 1506032 1882540 2738240 3012064 3765080 6024128 7530160 15060320 30120640