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97868430 = 23251131943
BaseRepresentation
bin1011101010101…
…01101010001110
320211011020020200
411311111222032
5200023242210
613413354330
72265603462
oct565255216
9224136220
1097868430
1150276000
12289389a6
131737851a
14cdd84a2
1588d30c0
hex5d55a8e

97868430 has 192 divisors, whose sum is σ = 301466880. Its totient is φ = 21954240.

The previous prime is 97868401. The next prime is 97868453. The reversal of 97868430 is 3486879.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2275989 + ... + 2276031.

It is an arithmetic number, because the mean of its divisors is an integer number (1570140).

Almost surely, 297868430 is an apocalyptic number.

97868430 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97868430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150733440).

97868430 is an abundant number, since it is smaller than the sum of its proper divisors (203598450).

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

97868430 is a wasteful number, since it uses less digits than its factorization.

97868430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 97868430 is about 9892.8474161891. The cubic root of 97868430 is about 460.8372119381.

The spelling of 97868430 in words is "ninety-seven million, eight hundred sixty-eight thousand, four hundred thirty".