Search a number
-
+
1325155440 = 243571746399
BaseRepresentation
bin100111011111100…
…0100010001110000
310102100111212112010
41032333010101300
510203214433230
6335254402520
744560430640
oct11677042160
93370455463
101325155440
11620019994
1230b960440
13181704b5b
14c7dcc520
157b50d9b0
hex4efc4470

1325155440 has 160 divisors (see below), whose sum is σ = 4971110400. Its totient is φ = 285069312.

The previous prime is 1325155439. The next prime is 1325155463. The reversal of 1325155440 is 445515231.

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

It is a junction number, because it is equal to n+sod(n) for n = 1325155398 and 1325155407.

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, 5361 + ... + 51759.

It is an arithmetic number, because the mean of its divisors is an integer number (31069440).

Almost surely, 21325155440 is an apocalyptic number.

1325155440 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 1325155440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485555200).

1325155440 is an abundant number, since it is smaller than the sum of its proper divisors (3645954960).

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

1325155440 is a wasteful number, since it uses less digits than its factorization.

1325155440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46439 (or 46433 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 1325155440 is about 36402.6845163925. The cubic root of 1325155440 is about 1098.3875659445.

The spelling of 1325155440 in words is "one billion, three hundred twenty-five million, one hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1680 1785 1904 2040 2380 2856 3570 4080 4760 5712 7140 9520 14280 28560 46399 92798 139197 185596 231995 278394 324793 371192 463990 556788 649586 695985 742384 788783 927980 974379 1113576 1299172 1391970 1577566 1623965 1855960 1948758 2227152 2366349 2598344 2783940 3155132 3247930 3711920 3897516 3943915 4732698 4871895 5196688 5521481 5567880 6310264 6495860 7795032 7887830 9465396 9743790 11042962 11135760 11831745 12620528 12991720 15590064 15775660 16564443 18930792 19487580 22085924 23663490 25983440 27607405 31551320 33128886 37861584 38975160 44171848 47326980 55214810 63102640 66257772 77950320 82822215 88343696 94653960 110429620 132515544 165644430 189307920 220859240 265031088 331288860 441718480 662577720 1325155440