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83420676 = 22324721049
BaseRepresentation
bin1001111100011…
…10011000000100
312210222012122200
410332032120010
5132323430201
612135554500
72032030653
oct476163004
9183865580
1083420676
11430a8209
1223b2ba30
131438a361
14b11719a
1574cc386
hex4f8e604

83420676 has 54 divisors (see below), whose sum is σ = 215656350. Its totient is φ = 27189312.

The previous prime is 83420671. The next prime is 83420693. The reversal of 83420676 is 67602438.

It can be written as a sum of positive squares in only one way, i.e., 81432576 + 1988100 = 9024^2 + 1410^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 83420676.

It is not an unprimeable number, because it can be changed into a prime (83420671) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 79000 + ... + 80048.

Almost surely, 283420676 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 83420676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107828175).

83420676 is an abundant number, since it is smaller than the sum of its proper divisors (132235674).

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

83420676 is a wasteful number, since it uses less digits than its factorization.

83420676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 83420676 is about 9133.4919937557. The cubic root of 83420676 is about 436.9427807793.

The spelling of 83420676 in words is "eighty-three million, four hundred twenty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1049 1692 2098 2209 3147 4196 4418 6294 6627 8836 9441 12588 13254 18882 19881 26508 37764 39762 49303 79524 98606 147909 197212 295818 443727 591636 887454 1774908 2317241 4634482 6951723 9268964 13903446 20855169 27806892 41710338 83420676