Search a number
-
+
2597940 = 2233517283
BaseRepresentation
bin1001111010010000110100
311212222201000
421322100310
51131113230
6131403300
731040112
oct11722064
94788630
102597940
111514964
12a53530
136cc657
144b8ab2
15364b60
hex27a434

2597940 has 96 divisors (see below), whose sum is σ = 8588160. Its totient is φ = 649728.

The previous prime is 2597939. The next prime is 2597953. The reversal of 2597940 is 497952.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2597895 and 2597904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9039 + ... + 9321.

It is an arithmetic number, because the mean of its divisors is an integer number (89460).

22597940 is an apocalyptic number.

2597940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2597940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294080).

2597940 is an abundant number, since it is smaller than the sum of its proper divisors (5990220).

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

2597940 is a wasteful number, since it uses less digits than its factorization.

2597940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2597940 is about 1611.8126441991. The cubic root of 2597940 is about 137.4705611907.

The spelling of 2597940 in words is "two million, five hundred ninety-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 283 306 340 459 510 540 566 612 765 849 918 1020 1132 1415 1530 1698 1836 2295 2547 2830 3060 3396 4245 4590 4811 5094 5660 7641 8490 9180 9622 10188 12735 14433 15282 16980 19244 24055 25470 28866 30564 38205 43299 48110 50940 57732 72165 76410 86598 96220 129897 144330 152820 173196 216495 259794 288660 432990 519588 649485 865980 1298970 2597940