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427312260 = 22345377129
BaseRepresentation
bin11001011110000…
…100010010000100
31002210001201020000
4121132010102010
51333342443020
6110222441300
713406044224
oct3136042204
91083051200
10427312260
111aa230031
12bb133230
136a6b50bb
1440a74084
15277ab090
hex19784484

427312260 has 120 divisors (see below), whose sum is σ = 1376917080. Its totient is φ = 110854656.

The previous prime is 427312247. The next prime is 427312273. The reversal of 427312260 is 62213724.

It is an interprime number because it is at equal distance from previous prime (427312247) and next prime (427312273).

It can be written as a sum of positive squares in 4 ways, for example, as 142850304 + 284461956 = 11952^2 + 16866^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 56376 + ... + 63504.

It is an arithmetic number, because the mean of its divisors is an integer number (11474309).

Almost surely, 2427312260 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 427312260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688458540).

427312260 is an abundant number, since it is smaller than the sum of its proper divisors (949604820).

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

427312260 is a wasteful number, since it uses less digits than its factorization.

427312260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7187 (or 7176 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 427312260 is about 20671.5325992051. The cubic root of 427312260 is about 753.2083358710.

Adding to 427312260 its reverse (62213724), we get a palindrome (489525984).

The spelling of 427312260 in words is "four hundred twenty-seven million, three hundred twelve thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 270 324 333 370 405 444 540 555 666 740 810 999 1110 1332 1620 1665 1998 2220 2997 3330 3996 4995 5994 6660 7129 9990 11988 14258 14985 19980 21387 28516 29970 35645 42774 59940 64161 71290 85548 106935 128322 142580 192483 213870 256644 263773 320805 384966 427740 527546 577449 641610 769932 791319 962415 1055092 1154898 1283220 1318865 1582638 1924830 2309796 2373957 2637730 2887245 3165276 3849660 3956595 4747914 5275460 5774490 7121871 7913190 9495828 11548980 11869785 14243742 15826380 21365613 23739570 28487484 35609355 42731226 47479140 71218710 85462452 106828065 142437420 213656130 427312260