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136444880 = 245111311927
BaseRepresentation
bin10000010000111…
…11101111010000
3100111202010012002
420020133233100
5234412214010
621312253132
73244522325
oct1010375720
9314663162
10136444880
1170024070
12398411a8
1322364120
141419ab4c
15bea31a5
hex821fbd0

136444880 has 80 divisors (see below), whose sum is σ = 372726144. Its totient is φ = 45795840.

The previous prime is 136444879. The next prime is 136444939. The reversal of 136444880 is 88444631.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5477 + ... + 17403.

Almost surely, 2136444880 is an apocalyptic number.

136444880 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 136444880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186363072).

136444880 is an abundant number, since it is smaller than the sum of its proper divisors (236281264).

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

136444880 is a wasteful number, since it uses less digits than its factorization.

136444880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11964 (or 11958 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 136444880 is about 11680.9622891267. The cubic root of 136444880 is about 514.8164488686.

The spelling of 136444880 in words is "one hundred thirty-six million, four hundred forty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 11927 23854 47708 59635 95416 119270 131197 155051 190832 238540 262394 310102 477080 524788 620204 655985 775255 954160 1049576 1240408 1311970 1550510 1705561 2099152 2480816 2623940 3101020 3411122 5247880 6202040 6822244 8527805 10495760 12404080 13644488 17055610 27288976 34111220 68222440 136444880