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2051420240 = 245416110253
BaseRepresentation
bin111101001000110…
…0011000001010000
312021222002221112102
41322101203001100
513200130421430
6535321015532
7101556533012
oct17221430120
95258087472
102051420240
11962a78431
124930245a8
1326900c03c
141566421b2
15c016d345
hex7a463050

2051420240 has 80 divisors (see below), whose sum is σ = 4966463376. Its totient is φ = 787353600.

The previous prime is 2051420213. The next prime is 2051420249. The reversal of 2051420240 is 420241502.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1202979856 + 848440384 = 34684^2 + 29128^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051420249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194954 + ... + 205206.

Almost surely, 22051420240 is an apocalyptic number.

2051420240 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 2051420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483231688).

2051420240 is an abundant number, since it is smaller than the sum of its proper divisors (2915043136).

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

2051420240 is a wasteful number, since it uses less digits than its factorization.

2051420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10368 (or 10362 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2051420240 is about 45292.6069022307. The cubic root of 2051420240 is about 1270.6273875379.

Adding to 2051420240 its reverse (420241502), we get a palindrome (2471661742).

The spelling of 2051420240 in words is "two billion, fifty-one million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 61 80 82 122 164 205 244 305 328 410 488 610 656 820 976 1220 1640 2440 2501 3280 4880 5002 10004 10253 12505 20008 20506 25010 40016 41012 50020 51265 82024 100040 102530 164048 200080 205060 410120 420373 625433 820240 840746 1250866 1681492 2101865 2501732 3127165 3362984 4203730 5003464 6254330 6725968 8407460 10006928 12508660 16814920 25017320 25642753 33629840 50034640 51285506 102571012 128213765 205142024 256427530 410284048 512855060 1025710120 2051420240