Search a number
-
+
18140040 = 23325411229
BaseRepresentation
bin100010100110…
…0101110001000
31021010121110100
41011030232020
514120440130
61444445400
7310121262
oct105145610
937117410
1018140040
11a26a976
1260a9860
1339b1969
1425a2b32
1518d4c60
hex114cb88

18140040 has 96 divisors (see below), whose sum is σ = 60442200. Its totient is φ = 4715520.

The previous prime is 18140011. The next prime is 18140047. The reversal of 18140040 is 4004181.

It can be written as a sum of positive squares in 4 ways, for example, as 15256836 + 2883204 = 3906^2 + 1698^2 .

It is a super-2 number, since 2×181400402 = 658122102403200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 18139995 and 18140022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18140047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14146 + ... + 15374.

Almost surely, 218140040 is an apocalyptic number.

18140040 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 18140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30221100).

18140040 is an abundant number, since it is smaller than the sum of its proper divisors (42302160).

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

18140040 is a wasteful number, since it uses less digits than its factorization.

18140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 18140040 is about 4259.1125836258. The cubic root of 18140040 is about 262.7520300537.

The spelling of 18140040 in words is "eighteen million, one hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1229 1230 1476 1640 1845 2458 2460 2952 3687 3690 4916 4920 6145 7374 7380 9832 11061 12290 14748 14760 18435 22122 24580 29496 36870 44244 49160 50389 55305 73740 88488 100778 110610 147480 151167 201556 221220 251945 302334 403112 442440 453501 503890 604668 755835 907002 1007780 1209336 1511670 1814004 2015560 2267505 3023340 3628008 4535010 6046680 9070020 18140040