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1401040420 = 2251321632543
BaseRepresentation
bin101001110000010…
…0010111000100100
310121122022020010221
41103200202320210
510332131243140
6351005054124
746501434643
oct12340427044
93548266127
101401040420
1165993a44a
12331257344
13194354200
14d410335a
1582eed14a
hex53822e24

1401040420 has 72 divisors (see below), whose sum is σ = 3206722176. Its totient is φ = 513931392.

The previous prime is 1401040379. The next prime is 1401040441. The reversal of 1401040420 is 240401041.

It is a junction number, because it is equal to n+sod(n) for n = 1401040394 and 1401040403.

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, 549669 + ... + 552211.

It is an arithmetic number, because the mean of its divisors is an integer number (44537808).

Almost surely, 21401040420 is an apocalyptic number.

1401040420 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 1401040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603361088).

1401040420 is an abundant number, since it is smaller than the sum of its proper divisors (1805681756).

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

1401040420 is a wasteful number, since it uses less digits than its factorization.

1401040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1401040420 is about 37430.4744826993. The cubic root of 1401040420 is about 1118.9659940210.

Adding to 1401040420 its reverse (240401041), we get a palindrome (1641441461).

The spelling of 1401040420 in words is "one billion, four hundred one million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 163 169 260 326 338 652 676 815 845 1630 1690 2119 2543 3260 3380 4238 5086 8476 10172 10595 12715 21190 25430 27547 33059 42380 50860 55094 66118 110188 132236 137735 165295 275470 330590 414509 429767 550940 661180 829018 859534 1658036 1719068 2072545 2148835 4145090 4297670 5388617 8290180 8595340 10777234 21554468 26943085 53886170 70052021 107772340 140104042 280208084 350260105 700520210 1401040420