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4021340460 = 2235312418971
BaseRepresentation
bin1110111110110000…
…1100100100101100
3101101020212021001120
43233230030210230
531213430343320
61503011140540
7201436554444
oct35754144454
911336767046
104021340460
111783a3a675
129428a4750
134c1183cc7
142a210b124
1518808d440
hexefb0c92c

4021340460 has 96 divisors (see below), whose sum is σ = 11672500224. Its totient is φ = 1033344000.

The previous prime is 4021340441. The next prime is 4021340471. The reversal of 4021340460 is 640431204.

It is a self number, because there is not a number n which added to its sum of digits gives 4021340460.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443775 + ... + 452745.

It is an arithmetic number, because the mean of its divisors is an integer number (121588544).

Almost surely, 24021340460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021340460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836250112).

4021340460 is an abundant number, since it is smaller than the sum of its proper divisors (7651159764).

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

4021340460 is a wasteful number, since it uses less digits than its factorization.

4021340460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9255 (or 9253 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4021340460 is about 63414.0399280790. The cubic root of 4021340460 is about 1590.2190355262.

Adding to 4021340460 its reverse (640431204), we get a palindrome (4661771664).

The spelling of 4021340460 in words is "four billion, twenty-one million, three hundred forty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 241 310 372 465 482 620 723 930 964 1205 1446 1860 2410 2892 3615 4820 7230 7471 8971 14460 14942 17942 22413 26913 29884 35884 37355 44826 44855 53826 74710 89652 89710 107652 112065 134565 149420 179420 224130 269130 278101 448260 538260 556202 834303 1112404 1390505 1668606 2162011 2781010 3337212 4171515 4324022 5562020 6486033 8343030 8648044 10810055 12972066 16686060 21620110 25944132 32430165 43240220 64860330 67022341 129720660 134044682 201067023 268089364 335111705 402134046 670223410 804268092 1005335115 1340446820 2010670230 4021340460