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18136720 = 2457139233
BaseRepresentation
bin100010100101…
…1111010010000
31021010102220101
41011023322100
514120333340
61444422144
7310105510
oct105137220
937112811
1018136720
11a268428
1260a7954
1339b02b4
1425a1840
1518d3c9a
hex114be90

18136720 has 80 divisors (see below), whose sum is σ = 48746880. Its totient is φ = 6147072.

The previous prime is 18136717. The next prime is 18136721. The reversal of 18136720 is 2763181.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×181367202 = 657881224716800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (18136721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 77724 + ... + 77956.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 218136720 is an apocalyptic number.

18136720 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 18136720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

18136720 is an abundant number, since it is smaller than the sum of its proper divisors (30610160).

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

18136720 is a wasteful number, since it uses less digits than its factorization.

18136720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 18136720 is about 4258.7228132387. The cubic root of 18136720 is about 262.7359994025.

The spelling of 18136720 in words is "eighteen million, one hundred thirty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 139 140 233 278 280 466 556 560 695 932 973 1112 1165 1390 1631 1864 1946 2224 2330 2780 3262 3728 3892 4660 4865 5560 6524 7784 8155 9320 9730 11120 13048 15568 16310 18640 19460 26096 32387 32620 38920 64774 65240 77840 129548 130480 161935 226709 259096 323870 453418 518192 647740 906836 1133545 1295480 1813672 2267090 2590960 3627344 4534180 9068360 18136720