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1402104032 = 257261107137
BaseRepresentation
bin101001110010010…
…0110100011100000
310121201022021010222
41103210212203200
510332414312112
6351043542212
746513454600
oct12344464340
93551267128
101402104032
1165a4a656a
1233168a968
13194637374
14d42dcc00
158315d372
hex539268e0

1402104032 has 144 divisors (see below), whose sum is σ = 3318256368. Its totient is φ = 581253120.

The previous prime is 1402104023. The next prime is 1402104059. The reversal of 1402104032 is 2304012041.

It is a self number, because there is not a number n which added to its sum of digits gives 1402104032.

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 23 ways as a sum of consecutive naturals, for example, 10234268 + ... + 10234404.

It is an arithmetic number, because the mean of its divisors is an integer number (23043447).

Almost surely, 21402104032 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 1402104032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659128184).

1402104032 is an abundant number, since it is smaller than the sum of its proper divisors (1916152336).

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

1402104032 is a wasteful number, since it uses less digits than its factorization.

1402104032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1402104032 is about 37444.6796220772. The cubic root of 1402104032 is about 1119.2490799808.

Adding to 1402104032 its reverse (2304012041), we get a palindrome (3706116073).

The spelling of 1402104032 in words is "one billion, four hundred two million, one hundred four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 98 107 112 122 137 196 214 224 244 274 392 427 428 488 548 749 784 854 856 959 976 1096 1498 1568 1708 1712 1918 1952 2192 2989 2996 3416 3424 3836 4384 5243 5978 5992 6527 6713 6832 7672 8357 10486 11956 11984 13054 13426 13664 14659 15344 16714 20972 23912 23968 26108 26852 29318 30688 33428 41944 45689 47824 52216 53704 58499 58636 66856 83888 91378 95648 102613 104432 107408 116998 117272 133712 167776 182756 205226 208864 214816 233996 234544 267424 319823 365512 409493 410452 467992 469088 639646 718291 731024 818986 820904 894199 935984 1279292 1436582 1462048 1637972 1641808 1788398 1871968 2558584 2873164 3275944 3283616 3576796 5117168 5746328 6259393 6551888 7153592 10234336 11492656 12518786 13103776 14307184 22985312 25037572 28614368 43815751 50075144 87631502 100150288 175263004 200300576 350526008 701052016 1402104032