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1402068824 = 23131937127151
BaseRepresentation
bin101001110010001…
…1101111101011000
310121201020110211222
41103210131331120
510332412200244
6351043111212
746513250132
oct12344357530
93551213758
101402068824
1165a482072
12331672508
13194624330
14d42d0052
1583152bee
hex5391df58

1402068824 has 128 divisors (see below), whose sum is σ = 3105177600. Its totient is φ = 587865600.

The previous prime is 1402068821. The next prime is 1402068827. The reversal of 1402068824 is 4288602041.

It is an interprime number because it is at equal distance from previous prime (1402068821) and next prime (1402068827).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402068821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9285149 + ... + 9285299.

It is an arithmetic number, because the mean of its divisors is an integer number (24259200).

Almost surely, 21402068824 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 1402068824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552588800).

1402068824 is an abundant number, since it is smaller than the sum of its proper divisors (1703108776).

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

1402068824 is a wasteful number, since it uses less digits than its factorization.

1402068824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 1402068824 is about 37444.2094855800. The cubic root of 1402068824 is about 1119.2397114768.

The spelling of 1402068824 in words is "one billion, four hundred two million, sixty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 19 26 37 38 52 74 76 104 127 148 151 152 247 254 296 302 481 494 508 604 703 962 988 1016 1208 1406 1651 1924 1963 1976 2413 2812 2869 3302 3848 3926 4699 4826 5587 5624 5738 6604 7852 9139 9398 9652 11174 11476 13208 15704 18278 18796 19177 19304 22348 22952 31369 36556 37297 37592 38354 44696 61087 62738 72631 73112 74594 76708 89281 106153 122174 125476 145262 149188 153416 178562 212306 244348 249301 250952 290524 298376 357124 364363 424612 488696 498602 581048 709549 714248 728726 849224 997204 1160653 1379989 1419098 1457452 1994408 2321306 2759978 2838196 2914904 4642612 4736719 5519956 5676392 9224137 9285224 9473438 11039912 13481431 18448274 18946876 26962862 36896548 37893752 53925724 73793096 107851448 175258603 350517206 701034412 1402068824