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1274803968 = 28313112671
BaseRepresentation
bin100101111111011…
…1111011100000000
310021211202202021210
41023332333130000
510102322211333
6330255250120
743406440434
oct11376773400
93254682253
101274803968
115a46590a9
122b6b19940
13174155799
14c14429c4
1576db4a63
hex4bfbf700

1274803968 has 72 divisors (see below), whose sum is σ = 3419006976. Its totient is φ = 421657600.

The previous prime is 1274803927. The next prime is 1274803969. The reversal of 1274803968 is 8693084721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1274803969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94273 + ... + 106943.

It is an arithmetic number, because the mean of its divisors is an integer number (47486208).

Almost surely, 21274803968 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 1274803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709503488).

1274803968 is an abundant number, since it is smaller than the sum of its proper divisors (2144203008).

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

1274803968 is a wasteful number, since it uses less digits than its factorization.

1274803968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12821 (or 12807 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 1274803968 is about 35704.3970401406. The cubic root of 1274803968 is about 1084.2958665527.

The spelling of 1274803968 in words is "one billion, two hundred seventy-four million, eight hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 524 768 786 1048 1572 2096 3144 4192 6288 8384 12576 12671 16768 25152 25342 33536 38013 50304 50684 76026 100608 101368 152052 202736 304104 405472 608208 810944 1216416 1621888 1659901 2432832 3243776 3319802 4865664 4979703 6639604 9731328 9959406 13279208 19918812 26558416 39837624 53116832 79675248 106233664 159350496 212467328 318700992 424934656 637401984 1274803968