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97033380 = 223519471811
BaseRepresentation
bin1011100100010…
…01110010100100
320202120210202220
411302021302210
5144320032010
613343432340
72255525103
oct562116244
9222523686
1097033380
114a855684
12285b56b0
1317145402
14cc5c03a
1587ba970
hex5c89ca4

97033380 has 96 divisors (see below), whose sum is σ = 292239360. Its totient is φ = 23978880.

The previous prime is 97033373. The next prime is 97033381. The reversal of 97033380 is 8333079.

It is not an unprimeable number, because it can be changed into a prime (97033381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52675 + ... + 54485.

It is an arithmetic number, because the mean of its divisors is an integer number (3044160).

Almost surely, 297033380 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 97033380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146119680).

97033380 is an abundant number, since it is smaller than the sum of its proper divisors (195205980).

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

97033380 is a wasteful number, since it uses less digits than its factorization.

97033380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 97033380 is about 9850.5522687817. The cubic root of 97033380 is about 459.5227880270.

The spelling of 97033380 in words is "ninety-seven million, thirty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 47 57 60 76 94 95 114 141 188 190 228 235 282 285 380 470 564 570 705 893 940 1140 1410 1786 1811 2679 2820 3572 3622 4465 5358 5433 7244 8930 9055 10716 10866 13395 17860 18110 21732 26790 27165 34409 36220 53580 54330 68818 85117 103227 108660 137636 170234 172045 206454 255351 340468 344090 412908 425585 510702 516135 688180 851170 1021404 1032270 1276755 1617223 1702340 2064540 2553510 3234446 4851669 5107020 6468892 8086115 9703338 16172230 19406676 24258345 32344460 48516690 97033380