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97992860 = 22573167337
BaseRepresentation
bin1011101011101…
…00000010011100
320211101112221012
411311310002130
5200041232420
613420154352
72266632320
oct565640234
9224345835
1097992860
1150350539
12289989b8
13173c0054
14d02b980
158909dc5
hex5d7409c

97992860 has 96 divisors (see below), whose sum is σ = 247123968. Its totient is φ = 31933440.

The previous prime is 97992859. The next prime is 97992887. The reversal of 97992860 is 6829979.

It is a super-2 number, since 2×979928602 = 19205201221959200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97992799 and 97992808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290612 + ... + 290948.

It is an arithmetic number, because the mean of its divisors is an integer number (2574208).

Almost surely, 297992860 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 97992860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123561984).

97992860 is an abundant number, since it is smaller than the sum of its proper divisors (149131108).

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

97992860 is a wasteful number, since it uses less digits than its factorization.

97992860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 50.

The square root of 97992860 is about 9899.1343055845. The cubic root of 97992860 is about 461.0324321601.

It can be divided in two parts, 979 and 92860, that added together give a palindrome (93839).

The spelling of 97992860 in words is "ninety-seven million, nine hundred ninety-two thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 67 70 124 134 140 155 217 268 310 335 337 434 469 620 670 674 868 938 1085 1340 1348 1685 1876 2077 2170 2345 2359 3370 4154 4340 4690 4718 6740 8308 9380 9436 10385 10447 11795 14539 20770 20894 22579 23590 29078 41540 41788 45158 47180 52235 58156 72695 73129 90316 104470 112895 145390 146258 158053 208940 225790 290780 292516 316106 365645 451580 632212 699949 731290 790265 1399898 1462580 1580530 2799796 3161060 3499745 4899643 6999490 9799286 13998980 19598572 24498215 48996430 97992860