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4053240100 = 22527132915359
BaseRepresentation
bin1111000110010111…
…1000100100100100
3101110110212221010201
43301211320210210
531300112140400
61510111000244
7202304654350
oct36145704444
911413787121
104053240100
11179aa48308
12951509084
134c7972830
142a6452460
1518ac9006a
hexf1978924

4053240100 has 144 divisors (see below), whose sum is σ = 11199283200. Its totient is φ = 1238469120.

The previous prime is 4053240077. The next prime is 4053240109. The reversal of 4053240100 is 10423504.

It is not an unprimeable number, because it can be changed into a prime (4053240109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256221 + ... + 271579.

It is an arithmetic number, because the mean of its divisors is an integer number (77772800).

Almost surely, 24053240100 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 4053240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599641600).

4053240100 is an abundant number, since it is smaller than the sum of its proper divisors (7146043100).

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

4053240100 is a wasteful number, since it uses less digits than its factorization.

4053240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15422 (or 15415 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4053240100 is about 63665.0618471387. The cubic root of 4053240100 is about 1594.4128170139.

Adding to 4053240100 its reverse (10423504), we get a palindrome (4063663604).

The spelling of 4053240100 in words is "four billion, fifty-three million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 29 35 50 52 58 65 70 91 100 116 130 140 145 175 182 203 260 290 325 350 364 377 406 455 580 650 700 725 754 812 910 1015 1300 1450 1508 1820 1885 2030 2275 2639 2900 3770 4060 4550 5075 5278 7540 9100 9425 10150 10556 13195 15359 18850 20300 26390 30718 37700 52780 61436 65975 76795 107513 131950 153590 199667 215026 263900 307180 383975 399334 430052 445411 537565 767950 798668 890822 998335 1075130 1397669 1535900 1781644 1996670 2150260 2227055 2687825 2795338 3117877 3993340 4454110 4991675 5375650 5590676 5790343 6235754 6988345 8908220 9983350 10751300 11135275 11580686 12471508 13976690 15589385 19966700 22270550 23161372 27953380 28951715 31178770 34941725 40532401 44541100 57903430 62357540 69883450 77946925 81064802 115806860 139766900 144758575 155893850 162129604 202662005 289517150 311787700 405324010 579034300 810648020 1013310025 2026620050 4053240100