[go: up one dir, main page]

Search a number
-
+
2024122240 = 27571932341
BaseRepresentation
bin111100010100101…
…1010011110000000
312020001202001201101
41320221122132000
513121133402430
6532503544144
7101105520010
oct17051323600
95201661641
102024122240
11949622aa8
12485a5b054
13263471b8a
14152b77c40
15bca79dca
hex78a5a780

2024122240 has 128 divisors (see below), whose sum is σ = 5561219520. Its totient is φ = 690094080.

The previous prime is 2024122229. The next prime is 2024122241. The reversal of 2024122240 is 422214202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024122241) 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, 863470 + ... + 865810.

Almost surely, 22024122240 is an apocalyptic number.

2024122240 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 2024122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780609760).

2024122240 is an abundant number, since it is smaller than the sum of its proper divisors (3537097280).

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

2024122240 is a wasteful number, since it uses less digits than its factorization.

2024122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2024122240 is about 44990.2460540060. The cubic root of 2024122240 is about 1264.9661736439.

Adding to 2024122240 its reverse (422214202), we get a palindrome (2446336442).

The spelling of 2024122240 in words is "two billion, twenty-four million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 193 224 280 320 386 448 560 640 772 896 965 1120 1351 1544 1930 2240 2341 2702 3088 3860 4480 4682 5404 6176 6755 7720 9364 10808 11705 12352 13510 15440 16387 18728 21616 23410 24704 27020 30880 32774 37456 43232 46820 54040 61760 65548 74912 81935 86464 93640 108080 123520 131096 149824 163870 172928 187280 216160 262192 299648 327740 374560 432320 451813 524384 655480 749120 864640 903626 1048768 1310960 1498240 1807252 2097536 2259065 2621920 3162691 3614504 4518130 5243840 6325382 7229008 9036260 10487680 12650764 14458016 15813455 18072520 25301528 28916032 31626910 36145040 50603056 57832064 63253820 72290080 101206112 126507640 144580160 202412224 253015280 289160320 404824448 506030560 1012061120 2024122240