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15013040 = 2457171983
BaseRepresentation
bin111001010001…
…010010110000
31001020202000112
4321101102300
512320404130
61253440452
7241415540
oct71212260
931222015
1015013040
118524579
125040128
133158573
141dcb320
1514b8495
hexe514b0

15013040 has 160 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 4534272.

The previous prime is 15013007. The next prime is 15013049. The reversal of 15013040 is 4031051.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (15013049) 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, 180839 + ... + 180921.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 215013040 is an apocalyptic number.

15013040 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 15013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

15013040 is an abundant number, since it is smaller than the sum of its proper divisors (29984080).

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

15013040 is a wasteful number, since it uses less digits than its factorization.

15013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 15013040 is about 3874.6664372562. Note that the first 3 decimals coincide. The cubic root of 15013040 is about 246.6926520794.

Adding to 15013040 its reverse (4031051), we get a palindrome (19044091).

The spelling of 15013040 in words is "fifteen million, thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 19 20 28 34 35 38 40 56 68 70 76 80 83 85 95 112 119 133 136 140 152 166 170 190 238 266 272 280 304 323 332 340 380 415 476 532 560 581 595 646 664 665 680 760 830 952 1064 1162 1190 1292 1328 1330 1360 1411 1520 1577 1615 1660 1904 2128 2261 2324 2380 2584 2660 2822 2905 3154 3230 3320 4522 4648 4760 5168 5320 5644 5810 6308 6460 6640 7055 7885 9044 9296 9520 9877 10640 11039 11288 11305 11620 12616 12920 14110 15770 18088 19754 22078 22576 22610 23240 25232 25840 26809 28220 31540 36176 39508 44156 45220 46480 49385 53618 55195 56440 63080 79016 88312 90440 98770 107236 110390 112880 126160 134045 158032 176624 180880 187663 197540 214472 220780 268090 375326 395080 428944 441560 536180 750652 790160 883120 938315 1072360 1501304 1876630 2144720 3002608 3753260 7506520 15013040