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83136340 = 2257312119
BaseRepresentation
bin1001111010010…
…00111101010100
312210102202121201
410331020331110
5132240330330
612125522244
72026435000
oct475107524
9183382551
1083136340
1142a23621
1223a13384
13142bab01
14b081700
157472eca
hex4f48f54

83136340 has 48 divisors (see below), whose sum is σ = 203616000. Its totient is φ = 28501536.

The previous prime is 83136281. The next prime is 83136401. The reversal of 83136340 is 4363138.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 83136299 and 83136308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801 + ... + 12919.

It is an arithmetic number, because the mean of its divisors is an integer number (4242000).

Almost surely, 283136340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83136340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101808000).

83136340 is an abundant number, since it is smaller than the sum of its proper divisors (120479660).

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

83136340 is a wasteful number, since it uses less digits than its factorization.

83136340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12149 (or 12133 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 83136340 is about 9117.9131384325. The cubic root of 83136340 is about 436.4457817521.

Adding to 83136340 its reverse (4363138), we get a palindrome (87499478).

The spelling of 83136340 in words is "eighty-three million, one hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 6860 12119 24238 48476 60595 84833 121190 169666 242380 339332 424165 593831 848330 1187662 1696660 2375324 2969155 4156817 5938310 8313634 11876620 16627268 20784085 41568170 83136340