Search a number
-
+
1402104440 = 235112436737
BaseRepresentation
bin101001110010010…
…0110101001111000
310121201022021201002
41103210212221320
510332414320230
6351043544132
746513456022
oct12344465170
93551267632
101402104440
1165a4a6900
1233168b048
131946375c9
14d42dd012
158315d545
hex53926a78

1402104440 has 96 divisors (see below), whose sum is σ = 3548769840. Its totient is φ = 497925120.

The previous prime is 1402104439. The next prime is 1402104463. The reversal of 1402104440 is 444012041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204752 + ... + 211488.

Almost surely, 21402104440 is an apocalyptic number.

1402104440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402104440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774384920).

1402104440 is an abundant number, since it is smaller than the sum of its proper divisors (2146665400).

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

1402104440 is a wasteful number, since it uses less digits than its factorization.

1402104440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6813 (or 6798 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1402104440 is about 37444.6850701138. The cubic root of 1402104440 is about 1119.2491885447.

Adding to 1402104440 its reverse (444012041), we get a palindrome (1846116481).

The spelling of 1402104440 in words is "one billion, four hundred two million, one hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 121 172 215 220 242 344 430 440 473 484 605 860 946 968 1210 1720 1892 2365 2420 3784 4730 4840 5203 6737 9460 10406 13474 18920 20812 26015 26948 33685 41624 52030 53896 67370 74107 104060 134740 148214 208120 269480 289691 296428 370535 579382 592856 741070 815177 1158764 1448455 1482140 1630354 2317528 2896910 2964280 3186601 3260708 4075885 5793820 6373202 6521416 8151770 11587640 12746404 15933005 16303540 25492808 31866010 32607080 35052611 63732020 70105222 127464040 140210444 175263055 280420888 350526110 701052220 1402104440