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83114430 = 2357894447
BaseRepresentation
bin1001111010000…
…11100110111110
312210101122120020
410331003212332
5132234130210
612125233010
72026314060
oct475034676
9183348506
1083114430
1142a09113
1223a02766
13142b0b49
14b077730
15746b770
hex4f439be

83114430 has 64 divisors (see below), whose sum is σ = 230584320. Its totient is φ = 18779904.

The previous prime is 83114429. The next prime is 83114453. The reversal of 83114430 is 3441138.

It is a self number, because there is not a number n which added to its sum of digits gives 83114430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16467 + ... + 20913.

It is an arithmetic number, because the mean of its divisors is an integer number (3602880).

Almost surely, 283114430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83114430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115292160).

83114430 is an abundant number, since it is smaller than the sum of its proper divisors (147469890).

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

83114430 is a wasteful number, since it uses less digits than its factorization.

83114430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 83114430 is about 9116.7115781953. The cubic root of 83114430 is about 436.4074376407.

Adding to 83114430 its reverse (3441138), we get a palindrome (86555568).

The spelling of 83114430 in words is "eighty-three million, one hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 89 105 178 210 267 445 534 623 890 1246 1335 1869 2670 3115 3738 4447 6230 8894 9345 13341 18690 22235 26682 31129 44470 62258 66705 93387 133410 155645 186774 311290 395783 466935 791566 933870 1187349 1978915 2374698 2770481 3957830 5540962 5936745 8311443 11873490 13852405 16622886 27704810 41557215 83114430