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18096840 = 23325172957
BaseRepresentation
bin100010100001…
…0001011001000
31021001102012100
41011002023020
514113044330
61443513400
7306551316
oct105021310
937042170
1018096840
11a240473
126088860
1339980b8
1425910b6
1518c7060
hex11422c8

18096840 has 96 divisors (see below), whose sum is σ = 62295480. Its totient is φ = 4540416.

The previous prime is 18096829. The next prime is 18096853. The reversal of 18096840 is 4869081.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14152644 + 3944196 = 3762^2 + 1986^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18096795 and 18096804.

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, 4642 + ... + 7598.

Almost surely, 218096840 is an apocalyptic number.

18096840 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 18096840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31147740).

18096840 is an abundant number, since it is smaller than the sum of its proper divisors (44198640).

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

18096840 is a wasteful number, since it uses less digits than its factorization.

18096840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18096840 is about 4254.0380816349. The cubic root of 18096840 is about 262.5432853790.

It can be divided in two parts, 1809 and 6840, that added together give a square (8649 = 932).

The spelling of 18096840 in words is "eighteen million, ninety-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 2957 3060 5914 6120 8871 11828 14785 17742 23656 26613 29570 35484 44355 50269 53226 59140 70968 88710 100538 106452 118280 133065 150807 177420 201076 212904 251345 266130 301614 354840 402152 452421 502690 532260 603228 754035 904842 1005380 1064520 1206456 1508070 1809684 2010760 2262105 3016140 3619368 4524210 6032280 9048420 18096840