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420041100 = 223521782361
BaseRepresentation
bin11001000010010…
…101000110001100
31002021101022001210
4121002111012030
51330012303400
6105402534420
713260201423
oct3102250614
91067338053
10420041100
111a6114106
12b8807410
136903a63b
143db002ba
1526d21950
hex1909518c

420041100 has 72 divisors (see below), whose sum is σ = 1286823888. Its totient is φ = 105420800.

The previous prime is 420041093. The next prime is 420041143. The reversal of 420041100 is 1140024.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 36081 + ... + 46280.

It is an arithmetic number, because the mean of its divisors is an integer number (17872554).

Almost surely, 2420041100 is an apocalyptic number.

It is an amenable number.

420041100 is an abundant number, since it is smaller than the sum of its proper divisors (866782788).

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

420041100 is a wasteful number, since it uses less digits than its factorization.

420041100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82395 (or 82388 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 420041100 is about 20494.9042447141. The cubic root of 420041100 is about 748.9116659136.

Adding to 420041100 its reverse (1140024), we get a palindrome (421181124).

The spelling of 420041100 in words is "four hundred twenty million, forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 82361 164722 247083 329444 411805 494166 823610 988332 1235415 1400137 1647220 2059025 2470830 2800274 4118050 4200411 4941660 5600548 6177075 7000685 8236100 8400822 12354150 14001370 16801644 21002055 24708300 28002740 35003425 42004110 70006850 84008220 105010275 140013700 210020550 420041100