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4023266240 = 265717105653
BaseRepresentation
bin1110111111001110…
…0010101111000000
3101101101111002201202
43233303202233000
531214424004430
61503120320332
7201462125120
oct35763425700
911341432652
104023266240
111785035524
129434730a8
134c16a9716
142a248cc80
1518831dd45
hexefce2bc0

4023266240 has 112 divisors (see below), whose sum is σ = 11593202112. Its totient is φ = 1298251776.

The previous prime is 4023266231. The next prime is 4023266243. The reversal of 4023266240 is 426623204.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023266243) 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, 14747 + ... + 90906.

Almost surely, 24023266240 is an apocalyptic number.

4023266240 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 4023266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796601056).

4023266240 is an abundant number, since it is smaller than the sum of its proper divisors (7569935872).

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

4023266240 is a wasteful number, since it uses less digits than its factorization.

4023266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105694 (or 105684 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 4023266240 is about 63429.2222875230. Note that the first 4 decimals coincide. The cubic root of 4023266240 is about 1590.4728417153.

Adding to 4023266240 its reverse (426623204), we get a palindrome (4449889444).

The spelling of 4023266240 in words is "four billion, twenty-three million, two hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 680 952 1088 1120 1190 1360 1904 2240 2380 2720 3808 4760 5440 7616 9520 19040 38080 105653 211306 422612 528265 739571 845224 1056530 1479142 1690448 1796101 2113060 2958284 3380896 3592202 3697855 4226120 5916568 6761792 7184404 7395710 8452240 8980505 11833136 12572707 14368808 14791420 16904480 17961010 23666272 25145414 28737616 29582840 33808960 35922020 47332544 50290828 57475232 59165680 62863535 71844040 100581656 114950464 118331360 125727070 143688080 201163312 236662720 251454140 287376160 402326624 502908280 574752320 804653248 1005816560 2011633120 4023266240