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136276280 = 23571792719
BaseRepresentation
bin10000001111101…
…10100100111000
3100111102112220122
420013312210320
5234341320110
621304512412
73243220640
oct1007664470
9314375818
10136276280
116aa19428
123977b708
132230546a
1414155520
15be6d255
hex81f6938

136276280 has 64 divisors (see below), whose sum is σ = 352512000. Its totient is φ = 46445184.

The previous prime is 136276271. The next prime is 136276319. The reversal of 136276280 is 82672631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 136276280.

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, 48761 + ... + 51479.

It is an arithmetic number, because the mean of its divisors is an integer number (5508000).

Almost surely, 2136276280 is an apocalyptic number.

136276280 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 136276280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256000).

136276280 is an abundant number, since it is smaller than the sum of its proper divisors (216235720).

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

136276280 is a wasteful number, since it uses less digits than its factorization.

136276280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 136276280 is about 11673.7431871701. The cubic root of 136276280 is about 514.6043147846.

The spelling of 136276280 in words is "one hundred thirty-six million, two hundred seventy-six thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 179 280 358 716 895 1253 1432 1790 2506 2719 3580 5012 5438 6265 7160 10024 10876 12530 13595 19033 21752 25060 27190 38066 50120 54380 76132 95165 108760 152264 190330 380660 486701 761320 973402 1946804 2433505 3406907 3893608 4867010 6813814 9734020 13627628 17034535 19468040 27255256 34069070 68138140 136276280