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1402061364 = 2232112536073
BaseRepresentation
bin101001110010001…
…1100001000110100
310121201020002121200
41103210130020310
510332411430424
6351043012500
746513216314
oct12344341064
93551202550
101402061364
1165a477500
1233166a130
13194620b12
14d42cb444
15831508c9
hex5391c234

1402061364 has 108 divisors (see below), whose sum is σ = 3969735588. Its totient is φ = 416782080.

The previous prime is 1402061351. The next prime is 1402061389. The reversal of 1402061364 is 4631602041.

1402061364 is a `hidden beast` number, since 1 + 40 + 2 + 0 + 613 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1155320100 + 246741264 = 33990^2 + 15708^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 227832 + ... + 233904.

It is an arithmetic number, because the mean of its divisors is an integer number (36756811).

Almost surely, 21402061364 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 1402061364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984867794).

1402061364 is an abundant number, since it is smaller than the sum of its proper divisors (2567674224).

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

1402061364 is a wasteful number, since it uses less digits than its factorization.

1402061364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1402061364 is about 37444.1098705791. The cubic root of 1402061364 is about 1119.2377264238.

The spelling of 1402061364 in words is "one billion, four hundred two million, sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 121 132 159 198 212 242 318 363 396 477 484 583 636 726 954 1089 1166 1452 1749 1908 2178 2332 3498 4356 5247 6073 6413 6996 10494 12146 12826 18219 19239 20988 24292 25652 36438 38478 54657 57717 66803 72876 76956 109314 115434 133606 200409 218628 230868 267212 321869 400818 601227 643738 734833 801636 965607 1202454 1287476 1469666 1931214 2204499 2404908 2896821 2939332 3540559 3862428 4408998 5793642 6613497 7081118 8817996 10621677 11587284 13226994 14162236 21243354 26453988 31865031 38946149 42486708 63730062 77892298 116838447 127460124 155784596 233676894 350515341 467353788 701030682 1402061364