Search a number
-
+
97143840 = 25335113199
BaseRepresentation
bin1011100101001…
…00110000100000
320202210102022000
411302210300200
5144332100330
613350044000
72256465123
oct562446040
9222712260
1097143840
114a920672
1228649600
1317183781
14cc8a3ba
1587dd560
hex5ca4c20

97143840 has 192 divisors, whose sum is σ = 344736000. Its totient is φ = 25546752.

The previous prime is 97143829. The next prime is 97143841. The reversal of 97143840 is 4834179.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97143795 and 97143804.

It is not an unprimeable number, because it can be changed into a prime (97143841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488061 + ... + 488259.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 297143840 is an apocalyptic number.

97143840 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 97143840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368000).

97143840 is an abundant number, since it is smaller than the sum of its proper divisors (247592160).

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

97143840 is a wasteful number, since it uses less digits than its factorization.

97143840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 97143840 is about 9856.1574662746. The cubic root of 97143840 is about 459.6970910641.

The spelling of 97143840 in words is "ninety-seven million, one hundred forty-three thousand, eight hundred forty".