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4190940 = 2234513199
BaseRepresentation
bin1111111111001011011100
321212220220000
433333023130
52033102230
6225454300
750423325
oct17771334
97786800
104190940
112402796
1214a1390
13b39760
147b144c
1557bb60
hex3ff2dc

4190940 has 120 divisors (see below), whose sum is σ = 14229600. Its totient is φ = 1026432.

The previous prime is 4190933. The next prime is 4190957. The reversal of 4190940 is 490914.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20961 + ... + 21159.

It is an arithmetic number, because the mean of its divisors is an integer number (118580).

Almost surely, 24190940 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 4190940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114800).

4190940 is an abundant number, since it is smaller than the sum of its proper divisors (10038660).

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

4190940 is a wasteful number, since it uses less digits than its factorization.

4190940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

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

The square root of 4190940 is about 2047.1785461947. The cubic root of 4190940 is about 161.2267678807.

The spelling of 4190940 in words is "four million, one hundred ninety thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 199 234 260 270 324 351 390 398 405 468 540 585 597 702 780 796 810 995 1053 1170 1194 1404 1620 1755 1791 1990 2106 2340 2388 2587 2985 3510 3582 3980 4212 5174 5265 5373 5970 7020 7164 7761 8955 10348 10530 10746 11940 12935 15522 16119 17910 21060 21492 23283 25870 26865 31044 32238 35820 38805 46566 51740 53730 64476 69849 77610 80595 93132 107460 116415 139698 155220 161190 209547 232830 279396 322380 349245 419094 465660 698490 838188 1047735 1396980 2095470 4190940