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1325331440 = 24571353661
BaseRepresentation
bin100111011111110…
…1111001111110000
310102100211210221122
41032333233033300
510203241101230
6335302241412
744562063026
oct11677571760
93370753848
101325331440
1162012a144
1230ba26268
13181766cb4
14c8036716
157b545be5
hex4efef3f0

1325331440 has 80 divisors (see below), whose sum is σ = 3138388416. Its totient is φ = 520396800.

The previous prime is 1325331439. The next prime is 1325331463. The reversal of 1325331440 is 441335231.

It is a tau number, because it is divible by the number of its divisors (80).

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, 2004710 + ... + 2005370.

Almost surely, 21325331440 is an apocalyptic number.

1325331440 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 1325331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569194208).

1325331440 is an abundant number, since it is smaller than the sum of its proper divisors (1813056976).

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

1325331440 is a wasteful number, since it uses less digits than its factorization.

1325331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 1325331440 is about 36405.1018402641. The cubic root of 1325331440 is about 1098.4361910964.

Adding to 1325331440 its reverse (441335231), we get a palindrome (1766666671).

The spelling of 1325331440 in words is "one billion, three hundred twenty-five million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 353 355 568 661 706 710 1136 1322 1412 1420 1765 2644 2824 2840 3305 3530 5288 5648 5680 6610 7060 10576 13220 14120 25063 26440 28240 46931 50126 52880 93862 100252 125315 187724 200504 233333 234655 250630 375448 401008 466666 469310 501260 750896 933332 938620 1002520 1166665 1866664 1877240 2005040 2333330 3733328 3754480 4666660 9333320 16566643 18666640 33133286 66266572 82833215 132533144 165666430 265066288 331332860 662665720 1325331440