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83260296 = 2332731732
BaseRepresentation
bin1001111011001…
…11001110001000
312210200001122200
410331213032020
5132303312141
612132320200
72030462250
oct475471610
9183601580
1083260296
1142aa8769
1223a73060
1314332362
14b0b4960
157499ab6
hex4f67388

83260296 has 144 divisors (see below), whose sum is σ = 269717760. Its totient is φ = 22705920.

The previous prime is 83260283. The next prime is 83260319. The reversal of 83260296 is 69206238.

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 83260296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1140516 + ... + 1140588.

It is an arithmetic number, because the mean of its divisors is an integer number (1873040).

Almost surely, 283260296 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 83260296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134858880).

83260296 is an abundant number, since it is smaller than the sum of its proper divisors (186457464).

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

83260296 is a wasteful number, since it uses less digits than its factorization.

83260296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 83260296 is about 9124.7079953279. The cubic root of 83260296 is about 436.6625870942.

The spelling of 83260296 in words is "eighty-three million, two hundred sixty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 73 84 93 124 126 146 168 186 217 219 248 252 279 292 372 434 438 504 511 558 584 651 657 744 868 876 1022 1116 1302 1314 1533 1736 1752 1953 2044 2232 2263 2604 2628 3066 3906 4088 4526 4599 5208 5256 5329 6132 6789 7812 9052 9198 10658 12264 13578 15624 15841 15987 18104 18396 20367 21316 27156 31682 31974 36792 37303 40734 42632 47523 47961 54312 63364 63948 74606 81468 95046 95922 111909 126728 127896 142569 149212 162936 165199 190092 191844 223818 285138 298424 330398 335727 380184 383688 447636 495597 570276 660796 671454 895272 991194 1140552 1156393 1321592 1342908 1486791 1982388 2312786 2685816 2973582 3469179 3964776 4625572 5947164 6938358 9251144 10407537 11894328 13876716 20815074 27753432 41630148 83260296