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97333080 = 233513431451
BaseRepresentation
bin1011100110100…
…10111101011000
320210011000212220
411303102331120
5144404124310
613354104040
72261213625
oct563227530
9223130786
1097333080
114aa3a869
122871b020
131721b950
14ccd934c
158829670
hex5cd2f58

97333080 has 128 divisors (see below), whose sum is σ = 321995520. Its totient is φ = 23385600.

The previous prime is 97333073. The next prime is 97333081. The reversal of 97333080 is 8033379.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97333081) 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, 66355 + ... + 67805.

It is an arithmetic number, because the mean of its divisors is an integer number (2515590).

Almost surely, 297333080 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 97333080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160997760).

97333080 is an abundant number, since it is smaller than the sum of its proper divisors (224662440).

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

97333080 is a wasteful number, since it uses less digits than its factorization.

97333080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1517 counting only the distinct ones).

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

The square root of 97333080 is about 9865.7528856140. The cubic root of 97333080 is about 459.9954000800.

The spelling of 97333080 in words is "ninety-seven million, three hundred thirty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 43 52 60 65 78 86 104 120 129 130 156 172 195 215 258 260 312 344 390 430 516 520 559 645 780 860 1032 1118 1290 1451 1560 1677 1720 2236 2580 2795 2902 3354 4353 4472 5160 5590 5804 6708 7255 8385 8706 11180 11608 13416 14510 16770 17412 18863 21765 22360 29020 33540 34824 37726 43530 56589 58040 62393 67080 75452 87060 94315 113178 124786 150904 174120 187179 188630 226356 249572 282945 311965 374358 377260 452712 499144 565890 623930 748716 754520 811109 935895 1131780 1247860 1497432 1622218 1871790 2263560 2433327 2495720 3244436 3743580 4055545 4866654 6488872 7487160 8111090 9733308 12166635 16222180 19466616 24333270 32444360 48666540 97333080