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4023103240 = 2351337211991
BaseRepresentation
bin1110111111001011…
…1010111100001000
3101101101011211010201
43233302322330020
531214403300430
61503113021544
7201460545652
oct35762727410
911341154121
104023103240
111784a34012
129433b48b4
134c1650480
142a24496d2
151882da8ca
hexefcbaf08

4023103240 has 128 divisors (see below), whose sum is σ = 10069355520. Its totient is φ = 1437004800.

The previous prime is 4023103199. The next prime is 4023103241. The reversal of 4023103240 is 423013204.

It is not an unprimeable number, because it can be changed into a prime (4023103241) 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, 4059145 + ... + 4060135.

It is an arithmetic number, because the mean of its divisors is an integer number (78666840).

Almost surely, 24023103240 is an apocalyptic number.

4023103240 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 4023103240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034677760).

4023103240 is an abundant number, since it is smaller than the sum of its proper divisors (6046252280).

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

4023103240 is a wasteful number, since it uses less digits than its factorization.

4023103240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4023103240 is about 63427.9373777833. The cubic root of 4023103240 is about 1590.4513624363.

Adding to 4023103240 its reverse (423013204), we get a palindrome (4446116444).

The spelling of 4023103240 in words is "four billion, twenty-three million, one hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 211 260 296 370 422 481 520 740 844 962 991 1055 1480 1688 1924 1982 2110 2405 2743 3848 3964 4220 4810 4955 5486 7807 7928 8440 9620 9910 10972 12883 13715 15614 19240 19820 21944 25766 27430 31228 36667 39035 39640 51532 54860 62456 64415 73334 78070 101491 103064 109720 128830 146668 156140 183335 202982 209101 257660 293336 312280 366670 405964 418202 476671 507455 515320 733340 811928 836404 953342 1014910 1045505 1466680 1672808 1906684 2029820 2091010 2383355 2718313 3813368 4059640 4182020 4766710 5436626 7736737 8364040 9533420 10873252 13591565 15473474 19066840 21746504 27183130 30946948 38683685 54366260 61893896 77367370 100577581 108732520 154734740 201155162 309469480 402310324 502887905 804620648 1005775810 2011551620 4023103240