Search a number
-
+
1402221120 = 26351499803
BaseRepresentation
bin101001110010100…
…0011001001000000
310121201112012202120
41103211003021000
510332432033440
6351050244240
746514453136
oct12345031100
93551465676
101402221120
1165a576533
12331726680
13194678751
14d432d756
1583182dd0
hex53943240

1402221120 has 112 divisors (see below), whose sum is σ = 4482388800. Its totient is φ = 371378176.

The previous prime is 1402221113. The next prime is 1402221127. The reversal of 1402221120 is 211222041.

It is an interprime number because it is at equal distance from previous prime (1402221113) and next prime (1402221127).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1402221120.

It is not an unprimeable number, because it can be changed into a prime (1402221127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138139 + ... + 147941.

Almost surely, 21402221120 is an apocalyptic number.

1402221120 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 1402221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241194400).

1402221120 is an abundant number, since it is smaller than the sum of its proper divisors (3080167680).

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

1402221120 is a wasteful number, since it uses less digits than its factorization.

1402221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9972 (or 9962 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1402221120 is about 37446.2430692319. The cubic root of 1402221120 is about 1119.2802348227.

Adding to 1402221120 its reverse (211222041), we get a palindrome (1613443161).

The spelling of 1402221120 in words is "one billion, four hundred two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 149 160 192 240 298 320 447 480 596 745 894 960 1192 1490 1788 2235 2384 2980 3576 4470 4768 5960 7152 8940 9536 9803 11920 14304 17880 19606 23840 28608 29409 35760 39212 47680 49015 58818 71520 78424 98030 117636 143040 147045 156848 196060 235272 294090 313696 392120 470544 588180 627392 784240 941088 1176360 1460647 1568480 1882176 2352720 2921294 3136960 4381941 4705440 5842588 7303235 8763882 9410880 11685176 14606470 17527764 21909705 23370352 29212940 35055528 43819410 46740704 58425880 70111056 87638820 93481408 116851760 140222112 175277640 233703520 280444224 350555280 467407040 701110560 1402221120