Search a number
-
+
1402590126 = 237591135009
BaseRepresentation
bin101001110011001…
…1101001110101110
310121202012221221110
41103212131032232
510333030341001
6351102212450
746520551020
oct12346351656
93552187843
101402590126
1165a7a87a3
12331884126
131947776b2
14d43c8010
15832073d6
hex5399d3ae

1402590126 has 64 divisors (see below), whose sum is σ = 3289766400. Its totient is φ = 390383616.

The previous prime is 1402590107. The next prime is 1402590149. The reversal of 1402590126 is 6210952041.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1402590093 and 1402590102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277510 + ... + 282518.

It is an arithmetic number, because the mean of its divisors is an integer number (51402600).

Almost surely, 21402590126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402590126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644883200).

1402590126 is an abundant number, since it is smaller than the sum of its proper divisors (1887176274).

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

1402590126 is a wasteful number, since it uses less digits than its factorization.

1402590126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5193.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1402590126 is about 37451.1698882692. The cubic root of 1402590126 is about 1119.3784088058.

The spelling of 1402590126 in words is "one billion, four hundred two million, five hundred ninety thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 59 113 118 177 226 339 354 413 678 791 826 1239 1582 2373 2478 4746 5009 6667 10018 13334 15027 20001 30054 35063 40002 46669 70126 93338 105189 140007 210378 280014 295531 566017 591062 886593 1132034 1698051 1773186 2068717 3396102 3962119 4137434 6206151 7924238 11886357 12412302 23772714 33395003 66790006 100185009 200370018 233765021 467530042 701295063 1402590126