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4124210240 = 26531835009
BaseRepresentation
bin1111010111010010…
…0111010001000000
3101122102102120212102
43311310213101000
531421244211430
61521124045532
7204126131363
oct36564472100
911572376772
104124210240
111827011217
129712338a8
13509590ab7
142b1a480da
1519210d345
hexf5d27440

4124210240 has 112 divisors (see below), whose sum is σ = 10261762560. Its totient is φ = 1576919040.

The previous prime is 4124210239. The next prime is 4124210261. The reversal of 4124210240 is 420124214.

It is a super-2 number, since 2×41242102402 = 34018220207441715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820856 + ... + 825864.

It is an arithmetic number, because the mean of its divisors is an integer number (91622880).

Almost surely, 24124210240 is an apocalyptic number.

4124210240 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 4124210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130881280).

4124210240 is an abundant number, since it is smaller than the sum of its proper divisors (6137552320).

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

4124210240 is a wasteful number, since it uses less digits than its factorization.

4124210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4124210240 is about 64220.0143257536. The cubic root of 4124210240 is about 1603.6648076648.

Adding to 4124210240 its reverse (420124214), we get a palindrome (4544334454).

The spelling of 4124210240 in words is "four billion, one hundred twenty-four million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 83 124 155 160 166 248 310 320 332 415 496 620 664 830 992 1240 1328 1660 1984 2480 2573 2656 3320 4960 5009 5146 5312 6640 9920 10018 10292 12865 13280 20036 20584 25045 25730 26560 40072 41168 50090 51460 80144 82336 100180 102920 155279 160288 164672 200360 205840 310558 320576 400720 411680 415747 621116 776395 801440 823360 831494 1242232 1552790 1602880 1662988 2078735 2484464 3105580 3325976 4157470 4968928 6211160 6651952 8314940 9937856 12422320 12888157 13303904 16629880 24844640 25776314 26607808 33259760 49689280 51552628 64440785 66519520 103105256 128881570 133039040 206210512 257763140 412421024 515526280 824842048 1031052560 2062105120 4124210240