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4124033320 = 2351123723029
BaseRepresentation
bin1111010111001111…
…1100000100101000
3101122102002121011211
43311303330010220
531421223031240
61521120202504
7204124463521
oct36563740450
911572077154
104124033320
111826a00300
12971169434
1350952b404
142b19dd848
151920c5bea
hexf5cfc128

4124033320 has 96 divisors (see below), whose sum is σ = 10475425800. Its totient is φ = 1459054080.

The previous prime is 4124033273. The next prime is 4124033327. The reversal of 4124033320 is 233304214.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4123951524 + 81796 = 64218^2 + 286^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4124033291 and 4124033300.

It is not an unprimeable number, because it can be changed into a prime (4124033327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167566 + ... + 190594.

Almost surely, 24124033320 is an apocalyptic number.

4124033320 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 4124033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237712900).

4124033320 is an abundant number, since it is smaller than the sum of its proper divisors (6351392480).

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

4124033320 is a wasteful number, since it uses less digits than its factorization.

4124033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23099 (or 23084 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 4124033320 is about 64218.6368587811. The cubic root of 4124033320 is about 1603.6418760473.

Adding to 4124033320 its reverse (233304214), we get a palindrome (4357337534).

The spelling of 4124033320 in words is "four billion, one hundred twenty-four million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 121 148 185 220 242 296 370 407 440 484 605 740 814 968 1210 1480 1628 2035 2420 3256 4070 4477 4840 8140 8954 16280 17908 22385 23029 35816 44770 46058 89540 92116 115145 179080 184232 230290 253319 460580 506638 852073 921160 1013276 1266595 1704146 2026552 2533190 2786509 3408292 4260365 5066380 5573018 6816584 8520730 9372803 10132760 11146036 13932545 17041460 18745606 22292072 27865090 34082920 37491212 46864015 55730180 74982424 93728030 103100833 111460360 187456060 206201666 374912120 412403332 515504165 824806664 1031008330 2062016660 4124033320