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83424420 = 223253591291
BaseRepresentation
bin1001111100011…
…11010010100100
312210222101210100
410332033102210
5132324040140
612140024100
72032044612
oct476172244
9183871710
1083424420
1143100002
1223b32030
131438bc81
14b1186b2
1574cd530
hex4f8f4a4

83424420 has 72 divisors (see below), whose sum is σ = 253955520. Its totient is φ = 22167360.

The previous prime is 83424403. The next prime is 83424433. The reversal of 83424420 is 2442438.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63975 + ... + 65265.

It is an arithmetic number, because the mean of its divisors is an integer number (3527160).

Almost surely, 283424420 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 83424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126977760).

83424420 is an abundant number, since it is smaller than the sum of its proper divisors (170531100).

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

83424420 is a wasteful number, since it uses less digits than its factorization.

83424420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 83424420 is about 9133.6969513993. The cubic root of 83424420 is about 436.9493174853.

Adding to 83424420 its reverse (2442438), we get a palindrome (85866858).

The spelling of 83424420 in words is "eighty-three million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 359 718 1077 1291 1436 1795 2154 2582 3231 3590 3873 4308 5164 5385 6455 6462 7180 7746 10770 11619 12910 12924 15492 16155 19365 21540 23238 25820 32310 38730 46476 58095 64620 77460 116190 232380 463469 926938 1390407 1853876 2317345 2780814 4171221 4634690 5561628 6952035 8342442 9269380 13904070 16684884 20856105 27808140 41712210 83424420