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97032330 = 235573547
BaseRepresentation
bin1011100100010…
…01100010001010
320202120202100000
411302021202022
5144320013310
613343423430
72255522043
oct562114212
9222522300
1097032330
114a85490a
12285b4b76
1317144aa5
14cc5b8ca
1587ba4c0
hex5c8988a

97032330 has 96 divisors (see below), whose sum is σ = 265696704. Its totient is φ = 25474176.

The previous prime is 97032329. The next prime is 97032337. The reversal of 97032330 is 3323079.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 97032294 and 97032303.

It is not an unprimeable number, because it can be changed into a prime (97032337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177117 + ... + 177663.

It is an arithmetic number, because the mean of its divisors is an integer number (2767674).

Almost surely, 297032330 is an apocalyptic number.

97032330 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97032330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132848352).

97032330 is an abundant number, since it is smaller than the sum of its proper divisors (168664374).

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

97032330 is a wasteful number, since it uses less digits than its factorization.

97032330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 97032330 is about 9850.4989721333. The cubic root of 97032330 is about 459.5211305195.

The spelling of 97032330 in words is "ninety-seven million, thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 81 90 135 146 162 219 243 270 365 405 438 486 547 657 730 810 1094 1095 1215 1314 1641 1971 2190 2430 2735 3282 3285 3942 4923 5470 5913 6570 8205 9846 9855 11826 14769 16410 17739 19710 24615 29538 29565 35478 39931 44307 49230 59130 73845 79862 88614 88695 119793 132921 147690 177390 199655 221535 239586 265842 359379 399310 443070 598965 664605 718758 1078137 1197930 1329210 1796895 2156274 3234411 3593790 5390685 6468822 9703233 10781370 16172055 19406466 32344110 48516165 97032330