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1404212420 = 2251347151761
BaseRepresentation
bin101001110110010…
…1001010011000100
310121212021101022102
41103230221103010
510333434244140
6351201051232
746540415522
oct12354512304
93555241272
101404212420
11660706636
12332326b18
13194bc4c30
14d46cb312
1583427e15
hex53b294c4

1404212420 has 96 divisors (see below), whose sum is σ = 3269016576. Its totient is φ = 503424000.

The previous prime is 1404212387. The next prime is 1404212441. The reversal of 1404212420 is 242124041.

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

It is a junction number, because it is equal to n+sod(n) for n = 1404212392 and 1404212401.

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, 1844840 + ... + 1845600.

It is an arithmetic number, because the mean of its divisors is an integer number (34052256).

Almost surely, 21404212420 is an apocalyptic number.

1404212420 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 1404212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634508288).

1404212420 is an abundant number, since it is smaller than the sum of its proper divisors (1864804156).

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

1404212420 is a wasteful number, since it uses less digits than its factorization.

1404212420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 979 counting only the distinct ones).

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

The square root of 1404212420 is about 37472.8224183874. The cubic root of 1404212420 is about 1119.8098157088.

Adding to 1404212420 its reverse (242124041), we get a palindrome (1646336461).

It can be divided in two parts, 14042 and 12420, that added together give a palindrome (26462).

The spelling of 1404212420 in words is "one billion, four hundred four million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 151 188 235 260 302 470 604 611 755 761 940 1222 1510 1522 1963 2444 3020 3044 3055 3805 3926 6110 7097 7610 7852 9815 9893 12220 14194 15220 19630 19786 28388 35485 35767 39260 39572 49465 70970 71534 92261 98930 114911 141940 143068 178835 184522 197860 229822 357670 369044 459644 461305 464971 574555 715340 922610 929942 1149110 1493843 1845220 1859884 2298220 2324855 2987686 4649710 5400817 5975372 7469215 9299420 10801634 14938430 21603268 27004085 29876860 54008170 70210621 108016340 140421242 280842484 351053105 702106210 1404212420