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97240000 = 2654111317
BaseRepresentation
bin1011100101111…
…00001111000000
320202222022012111
411302330033000
5144343140000
613352105104
72260345354
oct562741700
9222868174
1097240000
114a986940
1228695194
13171b8480
14ccb3464
15880bcba
hex5cbc3c0

97240000 has 280 divisors, whose sum is σ = 299941488. Its totient is φ = 30720000.

The previous prime is 97239973. The next prime is 97240007. The reversal of 97240000 is 4279.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97240007) 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 39 ways as a sum of consecutive naturals, for example, 5719992 + ... + 5720008.

Almost surely, 297240000 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 97240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149970744).

97240000 is an abundant number, since it is smaller than the sum of its proper divisors (202701488).

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

97240000 is a wasteful number, since it uses less digits than its factorization.

97240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 97240000 is about 9861.0344284968. The cubic root of 97240000 is about 459.8487215216.

Adding to 97240000 its reverse (4279), we get a palindrome (97244279).

The spelling of 97240000 in words is "ninety-seven million, two hundred forty thousand".