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18137340 = 223251323337
BaseRepresentation
bin100010100110…
…0000011111100
31021010110202100
41011030003330
514120343330
61444425100
7310110354
oct105140374
937113670
1018137340
11a268941
1260a8190
1339b0670
1425a1b64
1518d4060
hex114c0fc

18137340 has 144 divisors (see below), whose sum is σ = 62008128. Its totient is φ = 4257792.

The previous prime is 18137321. The next prime is 18137359. The reversal of 18137340 is 4373181.

It is an interprime number because it is at equal distance from previous prime (18137321) and next prime (18137359).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53652 + ... + 53988.

It is an arithmetic number, because the mean of its divisors is an integer number (430612).

Almost surely, 218137340 is an apocalyptic number.

18137340 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 18137340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31004064).

18137340 is an abundant number, since it is smaller than the sum of its proper divisors (43870788).

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

18137340 is a wasteful number, since it uses less digits than its factorization.

18137340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 18137340 is about 4258.7956043933. The cubic root of 18137340 is about 262.7389932268.

The spelling of 18137340 in words is "eighteen million, one hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 337 345 390 414 460 468 585 598 674 690 780 828 897 1011 1035 1170 1196 1348 1380 1495 1685 1794 2022 2070 2340 2691 2990 3033 3370 3588 4044 4140 4381 4485 5055 5382 5980 6066 6740 7751 8762 8970 10110 10764 12132 13143 13455 15165 15502 17524 17940 20220 21905 23253 26286 26910 30330 31004 38755 39429 43810 46506 52572 53820 60660 65715 69759 77510 78858 87620 93012 100763 116265 131430 139518 155020 157716 197145 201526 232530 262860 279036 302289 348795 394290 403052 465060 503815 604578 697590 788580 906867 1007630 1209156 1395180 1511445 1813734 2015260 3022890 3627468 4534335 6045780 9068670 18137340