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1325940 = 22 ⋅ 3 ⋅ 5 ⋅ 72 ⋅ 11 ⋅ 41
BaseRepresentation
bin101000011101101110100
32111100211220
411003231310
5314412230
644230340
714161500
oct5035564
92440756
101325940
11826220
1253b3b0
133756a5
14267300
151b2d10
hex143b74

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(max 15 digits)

1325940 has 144 divisors (see below), whose sum is σ = 4826304. Its totient is φ = 268800.

The previous prime is 1325939. The next prime is 1325941. The reversal of 1325940 is 495231.

It is an interprime number because it is at equal distance from previous prime (1325939) and next prime (1325941).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1325940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32320 + ... + 32360.

It is an arithmetic number, because the mean of its divisors is an integer number (33516).

21325940 is an apocalyptic number.

1325940 is a gapful number since it is divisible by the number (10) 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 1325940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413152).

1325940 is an abundant number, since it is smaller than the sum of its proper divisors (3500364).

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

1325940 is a wasteful number, since it uses less digits than its factorization.

1325940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1325940 is about 1151.4946808388. The cubic root of 1325940 is about 109.8604290441.

The spelling of 1325940 in words is "one million, three hundred twenty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 41 42 44 49 55 60 66 70 77 82 84 98 105 110 123 132 140 147 154 164 165 196 205 210 220 231 245 246 287 294 308 330 385 410 420 451 462 490 492 539 574 588 615 660 735 770 820 861 902 924 980 1078 1148 1155 1230 1353 1435 1470 1540 1617 1722 1804 2009 2156 2255 2310 2460 2695 2706 2870 2940 3157 3234 3444 4018 4305 4510 4620 5390 5412 5740 6027 6314 6468 6765 8036 8085 8610 9020 9471 10045 10780 12054 12628 13530 15785 16170 17220 18942 20090 22099 24108 27060 30135 31570 32340 37884 40180 44198 47355 60270 63140 66297 88396 94710 110495 120540 132594 189420 220990 265188 331485 441980 662970 1325940