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4122990 = 232561751
BaseRepresentation
bin1111101110100101101110
321202110200100
433232211232
52023413430
6224211530
750021244
oct17564556
97673610
104122990
112366733
121469ba6
13b14851
14794794
15566960
hex3ee96e

4122990 has 48 divisors (see below), whose sum is σ = 10910016. Its totient is φ = 1080000.

The previous prime is 4122973. The next prime is 4122997. The reversal of 4122990 is 992214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5115 + ... + 5865.

It is an arithmetic number, because the mean of its divisors is an integer number (227292).

Almost surely, 24122990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455008).

4122990 is an abundant number, since it is smaller than the sum of its proper divisors (6787026).

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

4122990 is a wasteful number, since it uses less digits than its factorization.

4122990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4122990 is about 2030.5147130715. The cubic root of 4122990 is about 160.3506632010.

The spelling of 4122990 in words is "four million, one hundred twenty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 751 915 1098 1502 1830 2253 2745 3755 4506 5490 6759 7510 11265 13518 22530 33795 45811 67590 91622 137433 229055 274866 412299 458110 687165 824598 1374330 2061495 4122990