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4240300240 = 2451123383547
BaseRepresentation
bin1111110010111101…
…1101100011010000
3101221111212120102001
43330233131203100
532141004101430
61540432203344
7210035646241
oct37457354320
911844776361
104240300240
1118865a2370
129a4099554
135276490c7
142c3226cc8
1519c3e03ca
hexfcbdd8d0

4240300240 has 160 divisors (see below), whose sum is σ = 11272421376. Its totient is φ = 1468346880.

The previous prime is 4240300231. The next prime is 4240300241. The reversal of 4240300240 is 420030424.

It is a super-2 number, since 2×42403002402 = 35960292250688115200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240300241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7751647 + ... + 7752193.

Almost surely, 24240300240 is an apocalyptic number.

4240300240 is a gapful number since it is divisible by the number (40) 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 4240300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5636210688).

4240300240 is an abundant number, since it is smaller than the sum of its proper divisors (7032121136).

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

4240300240 is a wasteful number, since it uses less digits than its factorization.

4240300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4240300240 is about 65117.5877931608. The cubic root of 4240300240 is about 1618.5726695327.

Adding to 4240300240 its reverse (420030424), we get a palindrome (4660330664).

The spelling of 4240300240 in words is "four billion, two hundred forty million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 383 440 460 506 547 766 880 920 1012 1094 1265 1532 1840 1915 2024 2188 2530 2735 3064 3830 4048 4213 4376 5060 5470 6017 6128 7660 8426 8752 8809 10120 10940 12034 12581 15320 16852 17618 20240 21065 21880 24068 25162 30085 30640 33704 35236 42130 43760 44045 48136 50324 60170 62905 67408 70472 84260 88090 96272 96899 100648 120340 125810 138391 140944 168520 176180 193798 201296 209501 240680 251620 276782 337040 352360 387596 419002 481360 484495 503240 553564 691955 704720 775192 838004 968990 1006480 1047505 1107128 1383910 1550384 1676008 1937980 2095010 2214256 2304511 2767820 3352016 3875960 4190020 4609022 4818523 5535640 7751920 8380040 9218044 9637046 11071280 11522555 16760080 18436088 19274092 23045110 24092615 36872176 38548184 46090220 48185230 53003753 77096368 92180440 96370460 106007506 184360880 192740920 212015012 265018765 385481840 424030024 530037530 848060048 1060075060 2120150120 4240300240