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1402146768 = 2431125710333
BaseRepresentation
bin101001110010011…
…0000111111010000
310121201101102202210
41103210300333100
510332422144033
6351044512120
746514023311
oct12344607720
93551342683
101402146768
1165a525690
123316ab640
13194650959
14d4310608
158316ad63
hex53930fd0

1402146768 has 80 divisors (see below), whose sum is σ = 3967263936. Its totient is φ = 423198720.

The previous prime is 1402146763. The next prime is 1402146773. The reversal of 1402146768 is 8676412041.

It is an interprime number because it is at equal distance from previous prime (1402146763) and next prime (1402146773).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402146761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130530 + ... + 140862.

Almost surely, 21402146768 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 1402146768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983631968).

1402146768 is an abundant number, since it is smaller than the sum of its proper divisors (2565117168).

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

1402146768 is a wasteful number, since it uses less digits than its factorization.

1402146768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10612 (or 10606 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1402146768 is about 37445.2502728984. The cubic root of 1402146768 is about 1119.2604514011.

The spelling of 1402146768 in words is "one billion, four hundred two million, one hundred forty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 257 264 514 528 771 1028 1542 2056 2827 3084 4112 5654 6168 8481 10333 11308 12336 16962 20666 22616 30999 33924 41332 45232 61998 67848 82664 113663 123996 135696 165328 227326 247992 340989 454652 495984 681978 909304 1363956 1818608 2655581 2727912 5311162 5455824 7966743 10622324 15933486 21244648 29211391 31866972 42489296 58422782 63733944 87634173 116845564 127467888 175268346 233691128 350536692 467382256 701073384 1402146768