Search a number
-
+
4466001420 = 223452756791
BaseRepresentation
bin1000010100011000…
…11100011000001100
3102112020120101020000
410022030130120030
533121244021140
62015053524300
7215446246206
oct41214343014
912466511200
104466001420
111991a39a71
12a477a3690
135623317ba
143051b9776
151b2124a30
hex10a31c60c

4466001420 has 60 divisors (see below), whose sum is σ = 14010016944. Its totient is φ = 1190933280.

The previous prime is 4466001389. The next prime is 4466001431. The reversal of 4466001420 is 241006644.

4466001420 is a `hidden beast` number, since 4 + 46 + 600 + 14 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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 19 ways as a sum of consecutive naturals, for example, 1376776 + ... + 1380015.

Almost surely, 24466001420 is an apocalyptic number.

It is an amenable number.

4466001420 is an abundant number, since it is smaller than the sum of its proper divisors (9544015524).

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

4466001420 is a wasteful number, since it uses less digits than its factorization.

4466001420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756812 (or 2756801 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4466001420 is about 66828.1484106810. The cubic root of 4466001420 is about 1646.7953003881.

The spelling of 4466001420 in words is "four billion, four hundred sixty-six million, one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2756791 5513582 8270373 11027164 13783955 16540746 24811119 27567910 33081492 41351865 49622238 55135820 74433357 82703730 99244476 124055595 148866714 165407460 223300071 248111190 297733428 372166785 446600142 496222380 744333570 893200284 1116500355 1488667140 2233000710 4466001420