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2426014720 = 21052916339
BaseRepresentation
bin1001000010011010…
…0000110000000000
320021001222022120001
42100212200300000
514432024432340
61040421525344
7114055533133
oct22046406000
96231868501
102426014720
111035470848
12578573854
132c87c698c
141902b221a
15e2eb429a
hex909a0c00

2426014720 has 88 divisors (see below), whose sum is σ = 6020636400. Its totient is φ = 936886272.

The previous prime is 2426014693. The next prime is 2426014727. The reversal of 2426014720 is 274106242.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2426014727) 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, 140311 + ... + 156649.

Almost surely, 22426014720 is an apocalyptic number.

2426014720 is a gapful number since it is divisible by the number (20) 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 2426014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010318200).

2426014720 is an abundant number, since it is smaller than the sum of its proper divisors (3594621680).

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

2426014720 is a wasteful number, since it uses less digits than its factorization.

2426014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16393 (or 16375 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2426014720 is about 49254.5908520211. The cubic root of 2426014720 is about 1343.6860566796.

The spelling of 2426014720 in words is "two billion, four hundred twenty-six million, fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1024 1160 1280 1856 2320 2560 3712 4640 5120 7424 9280 14848 16339 18560 29696 32678 37120 65356 74240 81695 130712 148480 163390 261424 326780 473831 522848 653560 947662 1045696 1307120 1895324 2091392 2369155 2614240 3790648 4182784 4738310 5228480 7581296 8365568 9476620 10456960 15162592 16731136 18953240 20913920 30325184 37906480 41827840 60650368 75812960 83655680 121300736 151625920 242601472 303251840 485202944 606503680 1213007360 2426014720