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421691400 = 233352136007
BaseRepresentation
bin11001001000101…
…000000000001000
31002101111010212000
4121020220000020
51330423111100
6105502151000
713310213664
oct3110500010
91071433760
10421691400
111a7040a99
12b9282460
1369497850
144000d8a4
152704a900
hex19228008

421691400 has 192 divisors, whose sum is σ = 1564483200. Its totient is φ = 103783680.

The previous prime is 421691399. The next prime is 421691401. The reversal of 421691400 is 4196124.

It is an interprime number because it is at equal distance from previous prime (421691399) and next prime (421691401).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (421691401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67197 + ... + 73203.

It is an arithmetic number, because the mean of its divisors is an integer number (8148350).

Almost surely, 2421691400 is an apocalyptic number.

421691400 is a gapful number since it is divisible by the number (40) 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 421691400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782241600).

421691400 is an abundant number, since it is smaller than the sum of its proper divisors (1142791800).

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

421691400 is a wasteful number, since it uses less digits than its factorization.

421691400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6045 (or 6030 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 421691400 is about 20535.1260039962. The cubic root of 421691400 is about 749.8911842129.

The spelling of 421691400 in words is "four hundred twenty-one million, six hundred ninety-one thousand, four hundred".