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1325928960 = 2933519183
BaseRepresentation
bin100111100001000…
…0001001000000000
310102101222011121000
41033002001020000
510203414211320
6335323132000
744600132046
oct11702011000
93371864530
101325928960
116204a8064
12310074000
13181915c65
14c8150396
157b612c90
hex4f081200

1325928960 has 160 divisors (see below), whose sum is σ = 4710055680. Its totient is φ = 353562624.

The previous prime is 1325928959. The next prime is 1325928997. The reversal of 1325928960 is 698295231.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 59529 + ... + 78711.

It is an arithmetic number, because the mean of its divisors is an integer number (29437848).

Almost surely, 21325928960 is an apocalyptic number.

1325928960 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 1325928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355027840).

1325928960 is an abundant number, since it is smaller than the sum of its proper divisors (3384126720).

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

1325928960 is an equidigital number, since it uses as much as digits as its factorization.

1325928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19215 (or 19193 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1325928960 is about 36413.3074575766. The cubic root of 1325928960 is about 1098.6012413779.

The spelling of 1325928960 in words is "one billion, three hundred twenty-five million, nine hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 19183 23040 34560 38366 57549 69120 76732 95915 115098 153464 172647 191830 230196 287745 306928 345294 383660 460392 517941 575490 613856 690588 767320 863235 920784 1035882 1150980 1227712 1381176 1534640 1726470 1841568 2071764 2301960 2455424 2589705 2762352 3069280 3452940 3683136 4143528 4603920 4910848 5179410 5524704 6138560 6905880 7366272 8287056 9207840 9821696 10358820 11049408 12277120 13811760 14732544 16574112 18415680 20717640 22098816 24554240 27623520 29465088 33148224 36831360 41435280 44197632 49108480 55247040 66296448 73662720 82870560 88395264 110494080 132592896 147325440 165741120 220988160 265185792 331482240 441976320 662964480 1325928960