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97688010 = 23575367131
BaseRepresentation
bin1011101001010…
…01100111001010
320210211001202110
411310221213022
5200002004020
613405443150
72264222460
oct564514712
9223731673
1097688010
11501624a2
12288704b6
1317314374
14cd8c830
1588998e0
hex5d299ca

97688010 has 128 divisors (see below), whose sum is σ = 279189504. Its totient is φ = 21415680.

The previous prime is 97687999. The next prime is 97688027. The reversal of 97688010 is 1088679.

It is a self number, because there is not a number n which added to its sum of digits gives 97688010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 745645 + ... + 745775.

It is an arithmetic number, because the mean of its divisors is an integer number (2181168).

Almost surely, 297688010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97688010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139594752).

97688010 is an abundant number, since it is smaller than the sum of its proper divisors (181501494).

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

97688010 is a wasteful number, since it uses less digits than its factorization.

97688010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268.

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 97688010 is about 9883.7245004098. The cubic root of 97688010 is about 460.5538539843.

The spelling of 97688010 in words is "ninety-seven million, six hundred eighty-eight thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 67 70 105 106 131 134 159 201 210 262 265 318 335 371 393 402 469 530 655 670 742 786 795 917 938 1005 1113 1310 1407 1590 1834 1855 1965 2010 2226 2345 2751 2814 3551 3710 3930 4585 4690 5502 5565 6943 7035 7102 8777 9170 10653 11130 13755 13886 14070 17554 17755 20829 21306 24857 26331 27510 34715 35510 41658 43885 48601 49714 52662 53265 61439 69430 74571 87770 97202 104145 106530 122878 124285 131655 145803 149142 184317 208290 243005 248570 263310 291606 307195 368634 372855 465181 486010 614390 729015 745710 921585 930362 1395543 1458030 1843170 2325905 2791086 3256267 4651810 6512534 6977715 9768801 13955430 16281335 19537602 32562670 48844005 97688010