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15830040 = 23351953131
BaseRepresentation
bin111100011000…
…110000011000
31002210020201210
4330120300120
513023030130
61323143120
7251360502
oct74306030
932706653
1015830040
118a32386
125374aa0
1333833b5
142160d72
1515ca5b0
hexf18c18

15830040 has 128 divisors (see below), whose sum is σ = 51321600. Its totient is φ = 3893760.

The previous prime is 15830039. The next prime is 15830041. The reversal of 15830040 is 4003851.

It is an interprime number because it is at equal distance from previous prime (15830039) and next prime (15830041).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 15829989 and 15830016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15830041) 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, 120775 + ... + 120905.

It is an arithmetic number, because the mean of its divisors is an integer number (400950).

Almost surely, 215830040 is an apocalyptic number.

15830040 is a gapful number since it is divisible by the number (10) 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 15830040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25660800).

15830040 is an abundant number, since it is smaller than the sum of its proper divisors (35491560).

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

15830040 is a wasteful number, since it uses less digits than its factorization.

15830040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 15830040 is about 3978.6982795884. The cubic root of 15830040 is about 251.0887978596.

Adding to 15830040 its reverse (4003851), we get a palindrome (19833891).

The spelling of 15830040 in words is "fifteen million, eight hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 53 57 60 76 95 106 114 120 131 152 159 190 212 228 262 265 285 318 380 393 424 456 524 530 570 636 655 760 786 795 1007 1048 1060 1140 1272 1310 1572 1590 1965 2014 2120 2280 2489 2620 3021 3144 3180 3930 4028 4978 5035 5240 6042 6360 6943 7467 7860 8056 9956 10070 12084 12445 13886 14934 15105 15720 19912 20140 20829 24168 24890 27772 29868 30210 34715 37335 40280 41658 49780 55544 59736 60420 69430 74670 83316 99560 104145 120840 131917 138860 149340 166632 208290 263834 277720 298680 395751 416580 527668 659585 791502 833160 1055336 1319170 1583004 1978755 2638340 3166008 3957510 5276680 7915020 15830040