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420504140 = 225716318427
BaseRepresentation
bin11001000100000…
…110001001001100
31002022020211020102
4121010012021030
51330122113030
6105420510232
713264140410
oct3104061114
91068224212
10420504140
111a63aaa91
12b89ab378
1369170324
143dbc0d40
1526db3c45
hex1910624c

420504140 has 48 divisors (see below), whose sum is σ = 1015456512. Its totient is φ = 143280576.

The previous prime is 420504131. The next prime is 420504169. The reversal of 420504140 is 41405024.

It is a super-3 number, since 3×4205041403 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 13607 + ... + 32033.

It is an arithmetic number, because the mean of its divisors is an integer number (21155344).

Almost surely, 2420504140 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 420504140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507728256).

420504140 is an abundant number, since it is smaller than the sum of its proper divisors (594952372).

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

420504140 is a wasteful number, since it uses less digits than its factorization.

420504140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18606 (or 18604 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 420504140 is about 20506.1975997502. The cubic root of 420504140 is about 749.1867570184.

Adding to 420504140 its reverse (41405024), we get a palindrome (461909164).

The spelling of 420504140 in words is "four hundred twenty million, five hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 163 326 652 815 1141 1630 2282 3260 4564 5705 11410 18427 22820 36854 73708 92135 128989 184270 257978 368540 515956 644945 1289890 2579780 3003601 6007202 12014404 15018005 21025207 30036010 42050414 60072020 84100828 105126035 210252070 420504140