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136312320 = 293517749
BaseRepresentation
bin10000001111111…
…11011000000000
3100111111101100110
420013333120000
5234343443240
621305351320
73243431004
oct1007773000
9314441313
10136312320
116aa43511
1239798540
13223189a1
1414164704
15be78c80
hex81ff600

136312320 has 80 divisors (see below), whose sum is σ = 435798000. Its totient is φ = 36347904.

The previous prime is 136312303. The next prime is 136312333. The reversal of 136312320 is 23213631.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1195 + ... + 16554.

It is an arithmetic number, because the mean of its divisors is an integer number (5447475).

Almost surely, 2136312320 is an apocalyptic number.

136312320 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 136312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217899000).

136312320 is an abundant number, since it is smaller than the sum of its proper divisors (299485680).

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

136312320 is an equidigital number, since it uses as much as digits as its factorization.

136312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17775 (or 17759 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 136312320 is about 11675.2867202480. The cubic root of 136312320 is about 514.6496753438.

Adding to 136312320 its reverse (23213631), we get a palindrome (159525951).

It can be divided in two parts, 13631 and 2320, that added together give a palindrome (15951).

The spelling of 136312320 in words is "one hundred thirty-six million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 17749 35498 53247 70996 88745 106494 141992 177490 212988 266235 283984 354980 425976 532470 567968 709960 851952 1064940 1135936 1419920 1703904 2129880 2271872 2839840 3407808 4259760 4543744 5679680 6815616 8519520 9087488 11359360 13631232 17039040 22718720 27262464 34078080 45437440 68156160 136312320