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97125000 = 23356737
BaseRepresentation
bin1011100101000…
…00001010001000
320202202110110020
411302200022020
5144331000000
613345420440
72256356160
oct562401210
9222673406
1097125000
114a9084a5
122863a720
131717801b
14cc835a0
1587d7ba0
hex5ca0288

97125000 has 224 divisors, whose sum is σ = 356245440. Its totient is φ = 21600000.

The previous prime is 97124987. The next prime is 97125011. The reversal of 97125000 is 52179.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2624982 + ... + 2625018.

Almost surely, 297125000 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 97125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178122720).

97125000 is an abundant number, since it is smaller than the sum of its proper divisors (259120440).

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

97125000 is an equidigital number, since it uses as much as digits as its factorization.

97125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 97125000 is about 9855.2016722135. The cubic root of 97125000 is about 459.6673713786.

Adding to 97125000 its reverse (52179), we get a palindrome (97177179).

The spelling of 97125000 in words is "ninety-seven million, one hundred twenty-five thousand".