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97012440 = 233257137281
BaseRepresentation
bin1011100100001…
…00101011011000
320202112202001100
411302010223120
5144313344230
613343151400
72255410050
oct562045330
9222482040
1097012440
114a840978
12285a5560
1317138a15
14cc54560
1587b4660
hex5c84ad8

97012440 has 192 divisors, whose sum is σ = 364253760. Its totient is φ = 21934080.

The previous prime is 97012439. The next prime is 97012457. The reversal of 97012440 is 4421079.

It is a happy number.

It is a super-2 number, since 2×970124402 = 18822827029507200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345100 + ... + 345380.

It is an arithmetic number, because the mean of its divisors is an integer number (1897155).

Almost surely, 297012440 is an apocalyptic number.

97012440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182126880).

97012440 is an abundant number, since it is smaller than the sum of its proper divisors (267241320).

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

97012440 is a wasteful number, since it uses less digits than its factorization.

97012440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 97012440 is about 9849.4893268636. The cubic root of 97012440 is about 459.4897303327.

The spelling of 97012440 in words is "ninety-seven million, twelve thousand, four hundred forty".