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13402440 = 2332559631
BaseRepresentation
bin110011001000…
…000101001000
3221012220200200
4303020011020
511412334230
61155132200
7221630112
oct63100510
927186620
1013402440
1176244a7
1245a4060
132a1344c
141acc3b2
15129b160
hexcc8148

13402440 has 96 divisors (see below), whose sum is σ = 44366400. Its totient is φ = 3507840.

The previous prime is 13402427. The next prime is 13402453. The reversal of 13402440 is 4420431.

It is an interprime number because it is at equal distance from previous prime (13402427) and next prime (13402453).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 20925 + ... + 21555.

It is an arithmetic number, because the mean of its divisors is an integer number (462150).

Almost surely, 213402440 is an apocalyptic number.

13402440 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 13402440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22183200).

13402440 is an abundant number, since it is smaller than the sum of its proper divisors (30963960).

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

13402440 is a wasteful number, since it uses less digits than its factorization.

13402440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 13402440 is about 3660.9343069768. The cubic root of 13402440 is about 237.5351896150.

Adding to 13402440 its reverse (4420431), we get a palindrome (17822871).

Subtracting from 13402440 its reverse (4420431), we obtain a square (8982009 = 29972).

The spelling of 13402440 in words is "thirteen million, four hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 59 60 72 90 118 120 177 180 236 295 354 360 472 531 590 631 708 885 1062 1180 1262 1416 1770 1893 2124 2360 2524 2655 3155 3540 3786 4248 5048 5310 5679 6310 7080 7572 9465 10620 11358 12620 15144 18930 21240 22716 25240 28395 37229 37860 45432 56790 74458 75720 111687 113580 148916 186145 223374 227160 297832 335061 372290 446748 558435 670122 744580 893496 1116870 1340244 1489160 1675305 2233740 2680488 3350610 4467480 6701220 13402440