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136396900 = 225223311913
BaseRepresentation
bin10000010000101…
…00000001100100
3100111122200101001
420020110001210
5234404200100
621311243044
73244232413
oct1010240144
9314580331
10136396900
116aaa1012
1239819484
1322348333
141418747a
15be93d6a
hex8214064

136396900 has 72 divisors (see below), whose sum is σ = 318979584. Its totient is φ = 50476800.

The previous prime is 136396879. The next prime is 136396901. The reversal of 136396900 is 9693631.

It is a super-2 number, since 2×1363969002 = 37208228659220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 136396900.

It is not an unprimeable number, because it can be changed into a prime (136396901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70344 + ... + 72256.

It is an arithmetic number, because the mean of its divisors is an integer number (4430272).

Almost surely, 2136396900 is an apocalyptic number.

136396900 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 136396900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159489792).

136396900 is an abundant number, since it is smaller than the sum of its proper divisors (182582684).

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

136396900 is a wasteful number, since it uses less digits than its factorization.

136396900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 37.

The square root of 136396900 is about 11678.9083393954. The cubic root of 136396900 is about 514.7560977850.

The spelling of 136396900 in words is "one hundred thirty-six million, three hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 31 46 50 62 92 100 115 124 155 230 310 460 575 620 713 775 1150 1426 1550 1913 2300 2852 3100 3565 3826 7130 7652 9565 14260 17825 19130 35650 38260 43999 47825 59303 71300 87998 95650 118606 175996 191300 219995 237212 296515 439990 593030 879980 1099975 1186060 1363969 1482575 2199950 2727938 2965150 4399900 5455876 5930300 6819845 13639690 27279380 34099225 68198450 136396900