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4124190 = 235741479
BaseRepresentation
bin1111101110111000011110
321202112022210
433232320132
52023433230
6224221250
750024610
oct17567036
97675283
104124190
112367624
12146a826
13b15265
14794db0
15566eb0
hex3eee1e

4124190 has 64 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 917760.

The previous prime is 4124189. The next prime is 4124191. The reversal of 4124190 is 914214.

It is an interprime number because it is at equal distance from previous prime (4124189) and next prime (4124191).

It is a super-2 number, since 2×41241902 = 34017886312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8371 + ... + 8849.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 24124190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

4124190 is an abundant number, since it is smaller than the sum of its proper divisors (7487970).

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

4124190 is a wasteful number, since it uses less digits than its factorization.

4124190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 4124190 is about 2030.8101831535. The cubic root of 4124190 is about 160.3662184275.

The spelling of 4124190 in words is "four million, one hundred twenty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 479 574 615 861 958 1230 1435 1437 1722 2395 2870 2874 3353 4305 4790 6706 7185 8610 10059 14370 16765 19639 20118 33530 39278 50295 58917 98195 100590 117834 137473 196390 274946 294585 412419 589170 687365 824838 1374730 2062095 4124190