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30681840 = 2435722609
BaseRepresentation
bin111010100001…
…0101011110000
32010201210120110
41311002223300
530323304330
63013341320
7521535300
oct165025360
963653513
1030681840
11163567a2
12a337840
136483447
144109600
152a60db0
hex1d42af0

30681840 has 120 divisors (see below), whose sum is σ = 110684880. Its totient is φ = 7010304.

The previous prime is 30681823. The next prime is 30681857. The reversal of 30681840 is 4818603.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30681823) and next prime (30681857).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30681798 and 30681807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10456 + ... + 13064.

It is an arithmetic number, because the mean of its divisors is an integer number (922374).

Almost surely, 230681840 is an apocalyptic number.

30681840 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 30681840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55342440).

30681840 is an abundant number, since it is smaller than the sum of its proper divisors (80003040).

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

30681840 is a wasteful number, since it uses less digits than its factorization.

30681840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 30681840 is about 5539.1190635335. The cubic root of 30681840 is about 313.0596775702.

The spelling of 30681840 in words is "thirty million, six hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2609 2940 3920 5218 5880 7827 10436 11760 13045 15654 18263 20872 26090 31308 36526 39135 41744 52180 54789 62616 73052 78270 91315 104360 109578 125232 127841 146104 156540 182630 208720 219156 255682 273945 292208 313080 365260 383523 438312 511364 547890 626160 639205 730520 767046 876624 1022728 1095780 1278410 1461040 1534092 1917615 2045456 2191560 2556820 3068184 3835230 4383120 5113640 6136368 7670460 10227280 15340920 30681840