Search a number
-
+
1256297240 = 235112855221
BaseRepresentation
bin100101011100001…
…1001001100011000
310020112221111211102
41022320121030120
510033103002430
6324354450532
743063231112
oct11270311430
93215844742
101256297240
11595168790
122b0893a48
13170375c63
14bcbc63b2
157545b345
hex4ae19318

1256297240 has 32 divisors (see below), whose sum is σ = 3083639760. Its totient is φ = 456835200.

The previous prime is 1256297239. The next prime is 1256297243. The reversal of 1256297240 is 427926521.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1256297194 and 1256297203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256297243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1427171 + ... + 1428050.

Almost surely, 21256297240 is an apocalyptic number.

1256297240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1256297240 is an abundant number, since it is smaller than the sum of its proper divisors (1827342520).

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

1256297240 is a wasteful number, since it uses less digits than its factorization.

1256297240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855243 (or 2855239 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 1256297240 is about 35444.2836011676. The cubic root of 1256297240 is about 1079.0232481220.

The spelling of 1256297240 in words is "one billion, two hundred fifty-six million, two hundred ninety-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2855221 5710442 11420884 14276105 22841768 28552210 31407431 57104420 62814862 114208840 125629724 157037155 251259448 314074310 628148620 1256297240