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4100021240 = 2357173672347
BaseRepresentation
bin1111010001100001…
…0101101111111000
3101120201220122210112
43310120111233320
531344101134430
61514501403452
7203413414460
oct36430255770
911521818715
104100021240
11181439a707
12965109588
13504571a93
142ac74cba0
1518ee31195
hexf4615bf8

4100021240 has 128 divisors (see below), whose sum is σ = 11198269440. Its totient is φ = 1318864896.

The previous prime is 4100021227. The next prime is 4100021273. The reversal of 4100021240 is 421200014.

It is a super-2 number, since 2×41000212402 = 33620348336902275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1745747 + ... + 1748093.

It is an arithmetic number, because the mean of its divisors is an integer number (87486480).

Almost surely, 24100021240 is an apocalyptic number.

4100021240 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 4100021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599134720).

4100021240 is an abundant number, since it is smaller than the sum of its proper divisors (7098248200).

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

4100021240 is a wasteful number, since it uses less digits than its factorization.

4100021240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4100021240 is about 64031.4082306488. The cubic root of 4100021240 is about 1600.5234277043.

Adding to 4100021240 its reverse (421200014), we get a palindrome (4521221254).

The spelling of 4100021240 in words is "four billion, one hundred million, twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 367 476 595 680 734 952 1190 1468 1835 2347 2380 2569 2936 3670 4694 4760 5138 6239 7340 9388 10276 11735 12478 12845 14680 16429 18776 20552 23470 24956 25690 31195 32858 39899 43673 46940 49912 51380 62390 65716 79798 82145 87346 93880 102760 124780 131432 159596 164290 174692 199495 218365 249560 279293 319192 328580 349384 398990 436730 558586 657160 797980 861349 873460 1117172 1396465 1595960 1722698 1746920 2234344 2792930 3445396 4306745 5585860 6029443 6890792 8613490 11171720 12058886 14642933 17226980 24117772 29285866 30147215 34453960 48235544 58571732 60294430 73214665 102500531 117143464 120588860 146429330 205001062 241177720 292858660 410002124 512502655 585717320 820004248 1025005310 2050010620 4100021240