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421674120 = 233357172193
BaseRepresentation
bin11001001000100…
…011110010001000
31002101110021011000
4121020203302020
51330422032440
6105501535000
713310112420
oct3110436210
91071407130
10421674120
111a702a00a
12b9274460
136948ca1a
1440007480
1527045730
hex19223c88

421674120 has 384 divisors, whose sum is σ = 1715270400. Its totient is φ = 90243072.

The previous prime is 421674119. The next prime is 421674131. The reversal of 421674120 is 21476124.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2184744 + ... + 2184936.

It is an arithmetic number, because the mean of its divisors is an integer number (4466850).

Almost surely, 2421674120 is an apocalyptic number.

421674120 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 421674120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857635200).

421674120 is an abundant number, since it is smaller than the sum of its proper divisors (1293596280).

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

421674120 is a wasteful number, since it uses less digits than its factorization.

421674120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 421674120 is about 20534.7052571981. The cubic root of 421674120 is about 749.8809411010.

It can be divided in two parts, 421 and 674120, that added together give a triangular number (674541 = T1161).

The spelling of 421674120 in words is "four hundred twenty-one million, six hundred seventy-four thousand, one hundred twenty".