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4126140 = 22365283
BaseRepresentation
bin1111101111010110111100
321202122000000
433233112330
52024014030
6224234300
750033364
oct17572674
97678000
104126140
112369037
12146b990
13b16105
147959a4
15567860
hex3ef5bc

4126140 has 84 divisors (see below), whose sum is σ = 13037304. Its totient is φ = 1096416.

The previous prime is 4126139. The next prime is 4126141. The reversal of 4126140 is 416214.

It is an interprime number because it is at equal distance from previous prime (4126139) and next prime (4126141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4126141) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14439 + ... + 14721.

It is an arithmetic number, because the mean of its divisors is an integer number (155206).

Almost surely, 24126140 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 4126140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518652).

4126140 is an abundant number, since it is smaller than the sum of its proper divisors (8911164).

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

4126140 is a wasteful number, since it uses less digits than its factorization.

4126140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4126140 is about 2031.2902303708. The cubic root of 4126140 is about 160.3914892365.

The spelling of 4126140 in words is "four million, one hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 283 324 405 486 540 566 729 810 849 972 1132 1215 1415 1458 1620 1698 2430 2547 2830 2916 3396 3645 4245 4860 5094 5660 7290 7641 8490 10188 12735 14580 15282 16980 22923 25470 30564 38205 45846 50940 68769 76410 91692 114615 137538 152820 206307 229230 275076 343845 412614 458460 687690 825228 1031535 1375380 2063070 4126140