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4265040120 = 23351110131991
BaseRepresentation
bin1111111000110111…
…0101100011111000
3102000020102111010220
43332031311203320
532213322240440
61543114340040
7210456146205
oct37615654370
912006374126
104265040120
11189955a850
129b042a620
1352c7cbaa3
142c6626cac
1519e67a8d0
hexfe3758f8

4265040120 has 128 divisors (see below), whose sum is σ = 14096954880. Its totient is φ = 1023680000.

The previous prime is 4265040119. The next prime is 4265040127. The reversal of 4265040120 is 210405624.

It is a super-2 number, since 2×42650401202 = 36381134450419228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4265040127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117325 + ... + 149315.

It is an arithmetic number, because the mean of its divisors is an integer number (110132460).

Almost surely, 24265040120 is an apocalyptic number.

4265040120 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 4265040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048477440).

4265040120 is an abundant number, since it is smaller than the sum of its proper divisors (9831914760).

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

4265040120 is a wasteful number, since it uses less digits than its factorization.

4265040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32117 (or 32113 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4265040120 is about 65307.2746330759. The cubic root of 4265040120 is about 1621.7144020948.

Adding to 4265040120 its reverse (210405624), we get a palindrome (4475445744).

The spelling of 4265040120 in words is "four billion, two hundred sixty-five million, forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 11110 12120 13332 16665 22220 26664 31991 33330 44440 63982 66660 95973 127964 133320 159955 191946 255928 319910 351901 383892 479865 639820 703802 767784 959730 1055703 1279640 1407604 1759505 1919460 2111406 2815208 3231091 3519010 3838920 4222812 5278515 6462182 7038020 8445624 9693273 10557030 12924364 14076040 16155455 19386546 21114060 25848728 32310910 35542001 38773092 42228120 48466365 64621820 71084002 77546184 96932730 106626003 129243640 142168004 177710005 193865460 213252006 284336008 355420010 387730920 426504012 533130015 710840020 853008024 1066260030 1421680040 2132520060 4265040120