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420703116 = 223297117027
BaseRepresentation
bin11001000100110…
…110101110001100
31002022121221011220
4121010312232030
51330144444431
6105425043340
713265626461
oct3104665614
91068557156
10420703116
111a6526529
12b8a86550
136920ca72
143dc33668
1526e02b96
hex19136b8c

420703116 has 48 divisors (see below), whose sum is σ = 1029853440. Its totient is φ = 133483840.

The previous prime is 420703079. The next prime is 420703133. The reversal of 420703116 is 611307024.

It is a super-2 number, since 2×4207031162 = 353982223624218912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16195 + ... + 33221.

It is an arithmetic number, because the mean of its divisors is an integer number (21455280).

Almost surely, 2420703116 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 420703116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514926720).

420703116 is an abundant number, since it is smaller than the sum of its proper divisors (609150324).

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

420703116 is a wasteful number, since it uses less digits than its factorization.

420703116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17134 (or 17132 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 420703116 is about 20511.0486323835. The cubic root of 420703116 is about 749.3049062141.

The spelling of 420703116 in words is "four hundred twenty million, seven hundred three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 29 58 71 87 116 142 174 213 284 348 426 852 2059 4118 6177 8236 12354 17027 24708 34054 51081 68108 102162 204324 493783 987566 1208917 1481349 1975132 2417834 2962698 3626751 4835668 5925396 7253502 14507004 35058593 70117186 105175779 140234372 210351558 420703116