Search a number
-
+
3197540 = 2252937149
BaseRepresentation
bin1100001100101001100100
320000110012102
430030221210
51304310130
6152311232
736115163
oct14145144
96013172
103197540
1118943a5
1210a2518
1387c548
145d33da
15432645
hex30ca64

3197540 has 48 divisors (see below), whose sum is σ = 7182000. Its totient is φ = 1193472.

The previous prime is 3197533. The next prime is 3197563. The reversal of 3197540 is 457913.

It can be written as a sum of positive squares in 8 ways, for example, as 7744 + 3189796 = 88^2 + 1786^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21386 + ... + 21534.

It is an arithmetic number, because the mean of its divisors is an integer number (149625).

Almost surely, 23197540 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 3197540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591000).

3197540 is an abundant number, since it is smaller than the sum of its proper divisors (3984460).

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

3197540 is a wasteful number, since it uses less digits than its factorization.

3197540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 3197540 is about 1788.1666588996. The cubic root of 3197540 is about 147.3234889423.

The spelling of 3197540 in words is "three million, one hundred ninety-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 149 185 290 298 370 580 596 740 745 1073 1490 2146 2980 4292 4321 5365 5513 8642 10730 11026 17284 21460 21605 22052 27565 43210 55130 86420 110260 159877 319754 639508 799385 1598770 3197540