Search a number
-
+
1240700256 = 2532172111201
BaseRepresentation
bin100100111110011…
…1001010101100000
310012110121002210100
41021330321111200
510020104402011
6323040302400
742513530625
oct11174712540
93173532710
101240700256
11587385514
122a7611a00
1316a074983
14baac634c
1573dc9d56
hex49f39560

1240700256 has 144 divisors (see below), whose sum is σ = 3756615408. Its totient is φ = 387072000.

The previous prime is 1240700231. The next prime is 1240700257. The reversal of 1240700256 is 6520070421.

1240700256 is a `hidden beast` number, since 1 + 2 + 407 + 0 + 0 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240700257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1032456 + ... + 1033656.

It is an arithmetic number, because the mean of its divisors is an integer number (26087607).

Almost surely, 21240700256 is an apocalyptic number.

1240700256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240700256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878307704).

1240700256 is an abundant number, since it is smaller than the sum of its proper divisors (2515915152).

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

1240700256 is a wasteful number, since it uses less digits than its factorization.

1240700256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1240700256 is about 35223.5752870148. The cubic root of 1240700256 is about 1074.5392670666.

Adding to 1240700256 its reverse (6520070421), we get a palindrome (7760770677).

The spelling of 1240700256 in words is "one billion, two hundred forty million, seven hundred thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 211 272 288 306 408 422 544 612 633 816 844 1201 1224 1266 1632 1688 1899 2402 2448 2532 3376 3587 3603 3798 4804 4896 5064 6752 7174 7206 7596 9608 10128 10761 10809 14348 14412 15192 19216 20256 20417 21522 21618 28696 28824 30384 32283 38432 40834 43044 43236 57392 57648 60768 61251 64566 81668 86088 86472 114784 115296 122502 129132 163336 172176 172944 183753 245004 253411 258264 326672 344352 345888 367506 490008 506822 516528 653344 735012 760233 980016 1013644 1033056 1470024 1520466 1960032 2027288 2280699 2940048 3040932 4054576 4307987 4561398 5880096 6081864 8109152 8615974 9122796 12163728 12923961 17231948 18245592 24327456 25847922 34463896 36491184 38771883 51695844 68927792 72982368 77543766 103391688 137855584 155087532 206783376 310175064 413566752 620350128 1240700256