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136240200 = 23325275689
BaseRepresentation
bin10000001111011…
…01110001001000
3100111100201102100
420013231301020
5234334141300
621304033400
73243010515
oct1007556110
9314321370
10136240200
116a9a4308
1239762860
13222c1c05
141414630c
15be62700
hex81edc48

136240200 has 72 divisors (see below), whose sum is σ = 457546050. Its totient is φ = 36330240.

The previous prime is 136240199. The next prime is 136240217. The reversal of 136240200 is 2042631.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 132296004 + 3944196 = 11502^2 + 1986^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1362402002 = 37122784192080000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36045 + ... + 39644.

Almost surely, 2136240200 is an apocalyptic number.

136240200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136240200 is an abundant number, since it is smaller than the sum of its proper divisors (321305850).

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

136240200 is a wasteful number, since it uses less digits than its factorization.

136240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75711 (or 75699 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 136240200 is about 11672.1977365019. The cubic root of 136240200 is about 514.5588958693.

Adding to 136240200 its reverse (2042631), we get a palindrome (138282831).

The spelling of 136240200 in words is "one hundred thirty-six million, two hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 75689 151378 227067 302756 378445 454134 605512 681201 756890 908268 1135335 1362402 1513780 1816536 1892225 2270670 2724804 3027560 3406005 3784450 4541340 5449608 5676675 6812010 7568900 9082680 11353350 13624020 15137800 17030025 22706700 27248040 34060050 45413400 68120100 136240200