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97151320 = 235737397
BaseRepresentation
bin1011100101001…
…10100101011000
320202210210120001
411302212211120
5144332320240
613350142344
72256526000
oct562464530
9222723501
1097151320
114a926252
12286519b4
1317186cb6
14cc8d000
1587e089a
hex5ca6958

97151320 has 128 divisors (see below), whose sum is σ = 261072000. Its totient is φ = 32514048.

The previous prime is 97151309. The next prime is 97151321. The reversal of 97151320 is 2315179.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97151321) by changing a digit.

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, 1001512 + ... + 1001608.

It is an arithmetic number, because the mean of its divisors is an integer number (2039625).

Almost surely, 297151320 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 97151320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130536000).

97151320 is an abundant number, since it is smaller than the sum of its proper divisors (163920680).

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

97151320 is a wasteful number, since it uses less digits than its factorization.

97151320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 97151320 is about 9856.5369171936. The cubic root of 97151320 is about 459.7088895340.

Adding to 97151320 its reverse (2315179), we get a palindrome (99466499).

The spelling of 97151320 in words is "ninety-seven million, one hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 73 97 98 140 146 194 196 245 280 292 343 365 388 392 485 490 511 584 679 686 730 776 970 980 1022 1358 1372 1460 1715 1940 1960 2044 2555 2716 2744 2920 3395 3430 3577 3880 4088 4753 5110 5432 6790 6860 7081 7154 9506 10220 13580 13720 14162 14308 17885 19012 20440 23765 25039 27160 28324 28616 33271 35405 35770 38024 47530 49567 50078 56648 66542 70810 71540 95060 99134 100156 125195 133084 141620 143080 166355 190120 198268 200312 247835 250390 266168 283240 332710 346969 396536 495670 500780 665420 693938 991340 1001560 1330840 1387876 1734845 1982680 2428783 2775752 3469690 4857566 6939380 9715132 12143915 13878760 19430264 24287830 48575660 97151320