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2420302144 = 261323791601
BaseRepresentation
bin1001000001000010…
…1110000101000000
320020200020002101011
42100100232011000
514424044132034
61040055250304
7113656141321
oct22020560500
96220202334
102420302144
111032219907
12576679994
132c7576760
1418d626448
15e2736864
hex9042e140

2420302144 has 112 divisors (see below), whose sum is σ = 5468843520. Its totient is φ = 1054310400.

The previous prime is 2420302123. The next prime is 2420302151. The reversal of 2420302144 is 4412030242.

It is a happy number.

It is a super-3 number, since 3×24203021443 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1510944 + ... + 1512544.

It is an arithmetic number, because the mean of its divisors is an integer number (48828960).

Almost surely, 22420302144 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 2420302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734421760).

2420302144 is an abundant number, since it is smaller than the sum of its proper divisors (3048541376).

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

2420302144 is a wasteful number, since it uses less digits than its factorization.

2420302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2420302144 is about 49196.5663842508. The cubic root of 2420302144 is about 1342.6305613699.

Adding to 2420302144 its reverse (4412030242), we get a palindrome (6832332386).

The spelling of 2420302144 in words is "two billion, four hundred twenty million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 79 92 104 158 184 208 299 316 368 416 598 632 736 832 1027 1196 1264 1472 1601 1817 2054 2392 2528 3202 3634 4108 4784 5056 6404 7268 8216 9568 12808 14536 16432 19136 20813 23621 25616 29072 32864 36823 41626 47242 51232 58144 65728 73646 83252 94484 102464 116288 126479 147292 166504 188968 252958 294584 333008 377936 478699 505916 589168 666016 755872 957398 1011832 1178336 1332032 1511744 1644227 1914796 2023664 2356672 2909017 3288454 3829592 4047328 5818034 6576908 7659184 8094656 11636068 13153816 15318368 23272136 26307632 30636736 37817221 46544272 52615264 75634442 93088544 105230528 151268884 186177088 302537768 605075536 1210151072 2420302144