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420538368 = 211368447
BaseRepresentation
bin11001000100001…
…110100000000000
31002022022120012010
4121010032200000
51330124211433
6105421332520
713264342245
oct3104164000
91068276163
10420538368
111a6423778
12b8a07140
1369182a93
143dbcd5cc
1526dbde63
hex1910e800

420538368 has 48 divisors (see below), whose sum is σ = 1121178240. Its totient is φ = 140177408.

The previous prime is 420538357. The next prime is 420538379. The reversal of 420538368 is 863835024.

It is an interprime number because it is at equal distance from previous prime (420538357) and next prime (420538379).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28080 + ... + 40367.

It is an arithmetic number, because the mean of its divisors is an integer number (23357880).

Almost surely, 2420538368 is an apocalyptic number.

420538368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420538368 is an abundant number, since it is smaller than the sum of its proper divisors (700639872).

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

420538368 is an equidigital number, since it uses as much as digits as its factorization.

420538368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68472 (or 68452 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 420538368 is about 20507.0321597251. The cubic root of 420538368 is about 749.2070837850.

The spelling of 420538368 in words is "four hundred twenty million, five hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 68447 136894 205341 273788 410682 547576 821364 1095152 1642728 2190304 3285456 4380608 6570912 8761216 13141824 17522432 26283648 35044864 52567296 70089728 105134592 140179456 210269184 420538368