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420700280 = 2357211131979
BaseRepresentation
bin11001000100110…
…110000001111000
31002022121210021212
4121010312001320
51330144402110
6105425022252
713265615300
oct3104660170
91068553255
10420700280
111a6524390
12b8a84988
136920b6a0
143dc32600
1526e01e05
hex19136078

420700280 has 384 divisors, whose sum is σ = 1378944000. Its totient is φ = 113218560.

The previous prime is 420700279. The next prime is 420700283. The reversal of 420700280 is 82007024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420700283) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5325281 + ... + 5325359.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2420700280 is an apocalyptic number.

420700280 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 420700280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472000).

420700280 is an abundant number, since it is smaller than the sum of its proper divisors (958243720).

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

420700280 is a wasteful number, since it uses less digits than its factorization.

420700280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 420700280 is about 20510.9794987953. The cubic root of 420700280 is about 749.3032224982.

The spelling of 420700280 in words is "four hundred twenty million, seven hundred thousand, two hundred eighty".