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2137590 = 234571329
BaseRepresentation
bin1000001001110111110110
311000121020000
420021313312
51021400330
6113452130
724112020
oct10116766
94017200
102137590
111230004
12871046
1359ac60
143d9010
152c3560
hex209df6

2137590 has 160 divisors (see below), whose sum is σ = 7318080. Its totient is φ = 435456.

The previous prime is 2137571. The next prime is 2137613. The reversal of 2137590 is 957312.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73696 + ... + 73724.

It is an arithmetic number, because the mean of its divisors is an integer number (45738).

22137590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659040).

2137590 is an abundant number, since it is smaller than the sum of its proper divisors (5180490).

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

2137590 is a wasteful number, since it uses less digits than its factorization.

2137590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 2137590 is about 1462.0499307479. The cubic root of 2137590 is about 128.8174811992.

The spelling of 2137590 in words is "two million, one hundred thirty-seven thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 29 30 35 39 42 45 54 58 63 65 70 78 81 87 90 91 105 117 126 130 135 145 162 174 182 189 195 203 210 234 261 270 273 290 315 351 377 378 390 405 406 435 455 522 546 567 585 609 630 702 754 783 810 819 870 910 945 1015 1053 1131 1134 1170 1218 1305 1365 1566 1638 1755 1827 1885 1890 2030 2106 2262 2349 2457 2610 2639 2730 2835 3045 3393 3510 3654 3770 3915 4095 4698 4914 5265 5278 5481 5655 5670 6090 6786 7371 7830 7917 8190 9135 10179 10530 10962 11310 11745 12285 13195 14742 15834 16443 16965 18270 20358 23490 23751 24570 26390 27405 30537 32886 33930 36855 39585 47502 50895 54810 61074 71253 73710 79170 82215 101790 118755 142506 152685 164430 213759 237510 305370 356265 427518 712530 1068795 2137590