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97081340 = 225371271033
BaseRepresentation
bin1011100100101…
…01011111111100
320202200020120012
411302111133330
5144323100330
613344442352
72256114656
oct562253774
9222606505
1097081340
114a888714
12286193b8
13171611a5
14cc716d6
1587c9c95
hex5c957fc

97081340 has 48 divisors (see below), whose sum is σ = 211233792. Its totient is φ = 37449216.

The previous prime is 97081331. The next prime is 97081379. The reversal of 97081340 is 4318079.

It is a junction number, because it is equal to n+sod(n) for n = 97081297 and 97081306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93464 + ... + 94496.

It is an arithmetic number, because the mean of its divisors is an integer number (4400704).

Almost surely, 297081340 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 97081340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105616896).

97081340 is an abundant number, since it is smaller than the sum of its proper divisors (114152452).

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

97081340 is a wasteful number, since it uses less digits than its factorization.

97081340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 97081340 is about 9852.9863493258. The cubic root of 97081340 is about 459.5984839127.

The spelling of 97081340 in words is "ninety-seven million, eighty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 127 148 185 254 370 508 635 740 1033 1270 2066 2540 4132 4699 5165 9398 10330 18796 20660 23495 38221 46990 76442 93980 131191 152884 191105 262382 382210 524764 655955 764420 1311910 2623820 4854067 9708134 19416268 24270335 48540670 97081340