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1256220240 = 243511475841
BaseRepresentation
bin100101011100000…
…0110011001010000
310020112210121012120
41022320012121100
510033043021430
6324353054240
743062460452
oct11270063120
93215717176
101256220240
11595115950
122b0857380
13170349bb2
14bcba62d2
1575443610
hex4ae06650

1256220240 has 80 divisors (see below), whose sum is σ = 4248317376. Its totient is φ = 304537600.

The previous prime is 1256220227. The next prime is 1256220269. The reversal of 1256220240 is 420226521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1256220240.

It is a congruent number.

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, 235281 + ... + 240560.

Almost surely, 21256220240 is an apocalyptic number.

1256220240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1256220240 is an abundant number, since it is smaller than the sum of its proper divisors (2992097136).

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

1256220240 is a wasteful number, since it uses less digits than its factorization.

1256220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475868 (or 475862 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1256220240 is about 35443.1973726976. The cubic root of 1256220240 is about 1079.0012027851.

Adding to 1256220240 its reverse (420226521), we get a palindrome (1676446761).

The spelling of 1256220240 in words is "one billion, two hundred fifty-six million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 475841 951682 1427523 1903364 2379205 2855046 3806728 4758410 5234251 5710092 7137615 7613456 9516820 10468502 11420184 14275230 15702753 19033640 20937004 22840368 26171255 28550460 31405506 38067280 41874008 52342510 57100920 62811012 78513765 83748016 104685020 114201840 125622024 157027530 209370040 251244048 314055060 418740080 628110120 1256220240