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97041840 = 24357471229
BaseRepresentation
bin1011100100010…
…11110110110000
320202121020101020
411302023312300
5144320314330
613343535440
72255561550
oct562136660
9222536336
1097041840
114a860a75
12285ba580
131714920c
14cc61160
1587bd210
hex5c8bdb0

97041840 has 160 divisors (see below), whose sum is σ = 351406080. Its totient is φ = 21691392.

The previous prime is 97041839. The next prime is 97041851. The reversal of 97041840 is 4814079.

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, 78346 + ... + 79574.

It is an arithmetic number, because the mean of its divisors is an integer number (2196288).

Almost surely, 297041840 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 97041840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175703040).

97041840 is an abundant number, since it is smaller than the sum of its proper divisors (254364240).

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

97041840 is a wasteful number, since it uses less digits than its factorization.

97041840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 97041840 is about 9850.9816769701. The cubic root of 97041840 is about 459.5361423655.

The spelling of 97041840 in words is "ninety-seven million, forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 47 48 56 60 70 80 84 94 105 112 120 140 141 168 188 210 235 240 280 282 329 336 376 420 470 560 564 658 705 752 840 940 987 1128 1229 1316 1410 1645 1680 1880 1974 2256 2458 2632 2820 3290 3687 3760 3948 4916 4935 5264 5640 6145 6580 7374 7896 8603 9832 9870 11280 12290 13160 14748 15792 17206 18435 19664 19740 24580 25809 26320 29496 34412 36870 39480 43015 49160 51618 57763 58992 68824 73740 78960 86030 98320 103236 115526 129045 137648 147480 172060 173289 206472 231052 258090 288815 294960 344120 346578 404341 412944 462104 516180 577630 688240 693156 808682 866445 924208 1032360 1155260 1213023 1386312 1617364 1732890 2021705 2064720 2310520 2426046 2772624 3234728 3465780 4043410 4621040 4852092 6065115 6469456 6931560 8086820 9704184 12130230 13863120 16173640 19408368 24260460 32347280 48520920 97041840