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18680040 = 23325192731
BaseRepresentation
bin100011101000…
…0100011101000
31022011001012100
41013100203220
514240230130
61504213400
7314530521
oct107204350
938131170
1018680040
11a5a9655
12630a260
133b406a2
1426a3848
15198ec60
hex11d08e8

18680040 has 96 divisors (see below), whose sum is σ = 63928800. Its totient is φ = 4717440.

The previous prime is 18680033. The next prime is 18680047. The reversal of 18680040 is 4008681.

It is an interprime number because it is at equal distance from previous prime (18680033) and next prime (18680047).

It is a junction number, because it is equal to n+sod(n) for n = 18679986 and 18680013.

It is not an unprimeable number, because it can be changed into a prime (18680047) 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, 5475 + ... + 8205.

It is an arithmetic number, because the mean of its divisors is an integer number (665925).

Almost surely, 218680040 is an apocalyptic number.

18680040 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 18680040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31964400).

18680040 is an abundant number, since it is smaller than the sum of its proper divisors (45248760).

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

18680040 is a wasteful number, since it uses less digits than its factorization.

18680040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 18680040 is about 4322.0411844405. The cubic root of 18680040 is about 265.3338145212. Note that the first 3 decimals are identical.

The spelling of 18680040 in words is "eighteen million, six hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 2731 3420 5462 6840 8193 10924 13655 16386 21848 24579 27310 32772 40965 49158 51889 54620 65544 81930 98316 103778 109240 122895 155667 163860 196632 207556 245790 259445 311334 327720 415112 467001 491580 518890 622668 778335 934002 983160 1037780 1245336 1556670 1868004 2075560 2335005 3113340 3736008 4670010 6226680 9340020 18680040