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1426309120 = 214523757
BaseRepresentation
bin101010100000011…
…1100000000000000
310200101212000021201
41111000330000000
510410113342440
6353310430544
750226266425
oct12500740000
93611760251
101426309120
11672129175
12339802454
131996607c2
14d75ddd4c
158534019a
hex5503c000

1426309120 has 120 divisors (see below), whose sum is σ = 3576583584. Its totient is φ = 544997376.

The previous prime is 1426309109. The next prime is 1426309123. The reversal of 1426309120 is 219036241.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426309123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1883782 + ... + 1884538.

Almost surely, 21426309120 is an apocalyptic number.

1426309120 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 1426309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788291792).

1426309120 is an abundant number, since it is smaller than the sum of its proper divisors (2150274464).

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

1426309120 is an frugal number, since it uses more digits than its factorization.

1426309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1426309120 is about 37766.5079137587. The cubic root of 1426309120 is about 1125.6530516184.

The spelling of 1426309120 in words is "one billion, four hundred twenty-six million, three hundred nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 640 736 757 920 1024 1280 1472 1514 1840 2048 2560 2944 3028 3680 3785 4096 5120 5888 6056 7360 7570 8192 10240 11776 12112 14720 15140 16384 17411 20480 23552 24224 29440 30280 34822 40960 47104 48448 58880 60560 69644 81920 87055 94208 96896 117760 121120 139288 174110 188416 193792 235520 242240 278576 348220 376832 387584 471040 484480 557152 696440 775168 942080 968960 1114304 1392880 1550336 1884160 1937920 2228608 2785760 3100672 3875840 4457216 5571520 6201344 7751680 8914432 11143040 12402688 15503360 17828864 22286080 31006720 35657728 44572160 62013440 71315456 89144320 142630912 178288640 285261824 356577280 713154560 1426309120