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97623330 = 23571943569
BaseRepresentation
bin1011101000110…
…01110100100010
320210200210000220
411310121310202
5144442421310
613404223510
72263533060
oct564316442
9223623026
1097623330
1150118942
122883ab96
13172c0aac
14cd73030
158885670
hex5d19d22

97623330 has 128 divisors (see below), whose sum is σ = 288921600. Its totient is φ = 20611584.

The previous prime is 97623329. The next prime is 97623341. The reversal of 97623330 is 3332679.

It is a junction number, because it is equal to n+sod(n) for n = 97623291 and 97623300.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 171286 + ... + 171854.

It is an arithmetic number, because the mean of its divisors is an integer number (2257200).

Almost surely, 297623330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97623330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144460800).

97623330 is an abundant number, since it is smaller than the sum of its proper divisors (191298270).

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

97623330 is a wasteful number, since it uses less digits than its factorization.

97623330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648.

The product of its (nonzero) digits is 20412, while the sum is 33.

The square root of 97623330 is about 9880.4519127416. The cubic root of 97623330 is about 460.4521860993.

The spelling of 97623330 in words is "ninety-seven million, six hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 43 57 70 86 95 105 114 129 133 190 210 215 258 266 285 301 399 430 569 570 602 645 665 798 817 903 1138 1290 1330 1505 1634 1707 1806 1995 2451 2845 3010 3414 3983 3990 4085 4515 4902 5690 5719 7966 8170 8535 9030 10811 11438 11949 12255 17070 17157 19915 21622 23898 24467 24510 28595 32433 34314 39830 48934 54055 57190 59745 64866 73401 75677 85785 108110 119490 122335 146802 151354 162165 171269 171570 227031 244670 324330 342538 367005 378385 454062 464873 513807 734010 756770 856345 929746 1027614 1135155 1394619 1712690 2270310 2324365 2569035 2789238 3254111 4648730 5138070 6508222 6973095 9762333 13946190 16270555 19524666 32541110 48811665 97623330