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83247630 = 23541531277
BaseRepresentation
bin1001111011001…
…00001000001110
312210122102021120
410331210020032
5132302411010
612132141410
72030410314
oct475441016
9183572246
1083247630
1142a9a1a4
1223a67866
131432966b
14b0b00b4
157495e70
hex4f6420e

83247630 has 64 divisors (see below), whose sum is σ = 208692288. Its totient is φ = 21232640.

The previous prime is 83247629. The next prime is 83247673. The reversal of 83247630 is 3674238.

It is a junction number, because it is equal to n+sod(n) for n = 83247591 and 83247600.

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, 64552 + ... + 65828.

It is an arithmetic number, because the mean of its divisors is an integer number (3260817).

Almost surely, 283247630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83247630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104346144).

83247630 is an abundant number, since it is smaller than the sum of its proper divisors (125444658).

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

83247630 is a wasteful number, since it uses less digits than its factorization.

83247630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381.

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 83247630 is about 9124.0139193230. The cubic root of 83247630 is about 436.6404434913.

The spelling of 83247630 in words is "eighty-three million, two hundred forty-seven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 53 82 106 123 159 205 246 265 318 410 530 615 795 1230 1277 1590 2173 2554 3831 4346 6385 6519 7662 10865 12770 13038 19155 21730 32595 38310 52357 65190 67681 104714 135362 157071 203043 261785 314142 338405 406086 523570 676810 785355 1015215 1570710 2030430 2774921 5549842 8324763 13874605 16649526 27749210 41623815 83247630