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1405043220 = 223575216421
BaseRepresentation
bin101001110111111…
…0100001000010100
310121220211120221210
41103233310020110
510334142340340
6351230541420
746550445630
oct12357641024
93556746853
101405043220
11661123849
12332667870
13195126129
14d4865dc0
158353e180
hex53bf4214

1405043220 has 96 divisors (see below), whose sum is σ = 4505469696. Its totient is φ = 320486400.

The previous prime is 1405043153. The next prime is 1405043231. The reversal of 1405043220 is 223405041.

1405043220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 215610 + ... + 222030.

It is an arithmetic number, because the mean of its divisors is an integer number (46931976).

Almost surely, 21405043220 is an apocalyptic number.

1405043220 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 1405043220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252734848).

1405043220 is an abundant number, since it is smaller than the sum of its proper divisors (3100426476).

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

1405043220 is a wasteful number, since it uses less digits than its factorization.

1405043220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6961 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1405043220 is about 37483.9061465051. The cubic root of 1405043220 is about 1120.0306167226.

Adding to 1405043220 its reverse (223405041), we get a palindrome (1628448261).

The spelling of 1405043220 in words is "one billion, four hundred five million, forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 521 1042 1563 2084 2605 3126 3647 5210 6252 6421 7294 7815 10420 10941 12842 14588 15630 18235 19263 21882 25684 31260 32105 36470 38526 43764 44947 54705 64210 72940 77052 89894 96315 109410 128420 134841 179788 192630 218820 224735 269682 385260 449470 539364 674205 898940 1348410 2696820 3345341 6690682 10036023 13381364 16726705 20072046 23417387 33453410 40144092 46834774 50180115 66906820 70252161 93669548 100360230 117086935 140504322 200720460 234173870 281008644 351260805 468347740 702521610 1405043220