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420107904 = 2733121559
BaseRepresentation
bin11001000010100…
…101011010000000
31002021111200201000
4121002211122000
51330021423104
6105404212000
713260600246
oct3102453200
91067450630
10420107904
111a615a317
12b883a000
1369061b78
143db1a796
1526d36639
hex190a5680

420107904 has 64 divisors (see below), whose sum is σ = 1239912000. Its totient is φ = 140034816.

The previous prime is 420107899. The next prime is 420107911. The reversal of 420107904 is 409701024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57324 + ... + 64235.

It is an arithmetic number, because the mean of its divisors is an integer number (19373625).

Almost surely, 2420107904 is an apocalyptic number.

It is an amenable number.

420107904 is an abundant number, since it is smaller than the sum of its proper divisors (819804096).

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

420107904 is a wasteful number, since it uses less digits than its factorization.

420107904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121582 (or 121564 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 420107904 is about 20496.5339508903. The cubic root of 420107904 is about 748.9513665071.

Adding to 420107904 its reverse (409701024), we get a palindrome (829808928).

The spelling of 420107904 in words is "four hundred twenty million, one hundred seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 121559 243118 364677 486236 729354 972472 1094031 1458708 1944944 2188062 2917416 3282093 3889888 4376124 5834832 6564186 7779776 8752248 11669664 13128372 15559552 17504496 23339328 26256744 35008992 46678656 52513488 70017984 105026976 140035968 210053952 420107904