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1325870040 = 2335116411567
BaseRepresentation
bin100111100000111…
…0010101111011000
310102101212011202210
41033001302233120
510203410320130
6335321555120
744566465215
oct11701625730
93371764683
101325870040
11620467870
12310045aa0
131818c51b1
14c8136b0c
157b6005b0
hex4f072bd8

1325870040 has 128 divisors (see below), whose sum is σ = 4348753920. Its totient is φ = 320716800.

The previous prime is 1325870033. The next prime is 1325870059. The reversal of 1325870040 is 400785231.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 845337 + ... + 846903.

It is an arithmetic number, because the mean of its divisors is an integer number (33974640).

Almost surely, 21325870040 is an apocalyptic number.

1325870040 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 1325870040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174376960).

1325870040 is an abundant number, since it is smaller than the sum of its proper divisors (3022883880).

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

1325870040 is a wasteful number, since it uses less digits than its factorization.

1325870040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1325870040 is about 36412.4984037075. The cubic root of 1325870040 is about 1098.5849683734.

The spelling of 1325870040 in words is "one billion, three hundred twenty-five million, eight hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 641 660 1282 1320 1567 1923 2564 3134 3205 3846 4701 5128 6268 6410 7051 7692 7835 9402 9615 12536 12820 14102 15384 15670 17237 18804 19230 21153 23505 25640 28204 31340 34474 35255 37608 38460 42306 47010 51711 56408 62680 68948 70510 76920 84612 86185 94020 103422 105765 137896 141020 169224 172370 188040 206844 211530 258555 282040 344740 413688 423060 517110 689480 846120 1004447 1034220 2008894 2068440 3013341 4017788 5022235 6026682 8035576 10044470 11048917 12053364 15066705 20088940 22097834 24106728 30133410 33146751 40177880 44195668 55244585 60266820 66293502 88391336 110489170 120533640 132587004 165733755 220978340 265174008 331467510 441956680 662935020 1325870040