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2014940790 = 2325314011801
BaseRepresentation
bin111100000011001…
…1000111001110110
312012102110121010200
41320012120321312
513111311101130
6531535101330
7100634466642
oct17006307166
95172417120
102014940790
11944421925
12482971846
132615a8a75
14151867c22
15bbd64760
hex78198e76

2014940790 has 96 divisors (see below), whose sum is σ = 5424337152. Its totient is φ = 518400000.

The previous prime is 2014940779. The next prime is 2014940791. The reversal of 2014940790 is 970494102.

2014940790 is a `hidden beast` number, since 20 + 149 + 407 + 90 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014940791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1117890 + ... + 1119690.

It is an arithmetic number, because the mean of its divisors is an integer number (56503512).

Almost surely, 22014940790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014940790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712168576).

2014940790 is an abundant number, since it is smaller than the sum of its proper divisors (3409396362).

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

2014940790 is a wasteful number, since it uses less digits than its factorization.

2014940790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2014940790 is about 44888.0918507348. The cubic root of 2014940790 is about 1263.0506389989.

The spelling of 2014940790 in words is "two billion, fourteen million, nine hundred forty thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 401 465 558 802 930 1203 1395 1801 2005 2406 2790 3602 3609 4010 5403 6015 7218 9005 10806 12030 12431 16209 18010 18045 24862 27015 32418 36090 37293 54030 55831 62155 74586 81045 111662 111879 124310 162090 167493 186465 223758 279155 334986 372930 502479 558310 559395 722201 837465 1004958 1118790 1444402 1674930 2166603 2512395 3611005 4333206 5024790 6499809 7222010 10833015 12999618 21666030 22388231 32499045 44776462 64998090 67164693 111941155 134329386 201494079 223882310 335823465 402988158 671646930 1007470395 2014940790