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4152126420 = 223551365719
BaseRepresentation
bin1111011101111100…
…0110101111010100
3101201100221212200000
43313133012233110
532000421021140
61524002251300
7204615330561
oct36737065724
911640855600
104152126420
111840849042
1297a656b30
135122b6450
142b5633868
151947c4a30
hexf77c6bd4

4152126420 has 144 divisors (see below), whose sum is σ = 14066183040. Its totient is φ = 1022046336.

The previous prime is 4152126413. The next prime is 4152126431. The reversal of 4152126420 is 246212514.

4152126420 is a `hidden beast` number, since 4 + 1 + 5 + 2 + 12 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30321 + ... + 96039.

Almost surely, 24152126420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4152126420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033091520).

4152126420 is an abundant number, since it is smaller than the sum of its proper divisors (9914056620).

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

4152126420 is a wasteful number, since it uses less digits than its factorization.

4152126420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65756 (or 65742 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4152126420 is about 64436.9957400250. The cubic root of 4152126420 is about 1607.2749989634.

Adding to 4152126420 its reverse (246212514), we get a palindrome (4398338934).

The spelling of 4152126420 in words is "four billion, one hundred fifty-two million, one hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1215 1404 1620 1755 2106 2340 2430 3159 3510 4212 4860 5265 6318 7020 10530 12636 15795 21060 31590 63180 65719 131438 197157 262876 328595 394314 591471 657190 788628 854347 985785 1182942 1314380 1708694 1774413 1971570 2365884 2563041 2957355 3417388 3548826 3943140 4271735 5126082 5323239 5914710 7097652 7689123 8543470 8872065 10252164 10646478 11829420 12815205 15378246 15969717 17086940 17744130 21292956 23067369 25630410 26616195 30756492 31939434 35488260 38445615 46134738 51260820 53232390 63878868 69202107 76891230 79848585 92269476 106464780 115336845 138404214 153782460 159697170 207606321 230673690 276808428 319394340 346010535 415212642 461347380 692021070 830425284 1038031605 1384042140 2076063210 4152126420