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421257780 = 223354153359
BaseRepresentation
bin11001000110111…
…110001000110100
31002100200010001000
4121012332020310
51330320222110
6105445003300
713303426536
oct3106761064
91070603030
10421257780
111a6875229
12b90b3530
1369375378
143dd39856
1526eb21c0
hex191be234

421257780 has 192 divisors, whose sum is σ = 1371686400. Its totient is φ = 107228160.

The previous prime is 421257779. The next prime is 421257827. The reversal of 421257780 is 87752124.

421257780 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 577 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1173241 + ... + 1173599.

It is an arithmetic number, because the mean of its divisors is an integer number (7144200).

Almost surely, 2421257780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421257780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685843200).

421257780 is an abundant number, since it is smaller than the sum of its proper divisors (950428620).

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

421257780 is a wasteful number, since it uses less digits than its factorization.

421257780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 421257780 is about 20524.5652816326. The cubic root of 421257780 is about 749.6340614810.

The spelling of 421257780 in words is "four hundred twenty-one million, two hundred fifty-seven thousand, seven hundred eighty".