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1325351680 = 28531127263
BaseRepresentation
bin100111011111111…
…0100001100000000
310102100212211201021
41032333310030000
510203242223210
6335302515224
744562206032
oct11677641400
93370784637
101325351680
11620143374
1230ba35b14
13181773283
14c803dc52
157b54bbda
hex4eff4300

1325351680 has 144 divisors (see below), whose sum is σ = 3315400704. Its totient is φ = 507064320.

The previous prime is 1325351659. The next prime is 1325351681. The reversal of 1325351680 is 861535231.

It is not an unprimeable number, because it can be changed into a prime (1325351681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5039229 + ... + 5039491.

It is an arithmetic number, because the mean of its divisors is an integer number (23023616).

Almost surely, 21325351680 is an apocalyptic number.

1325351680 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 1325351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657700352).

1325351680 is an abundant number, since it is smaller than the sum of its proper divisors (1990049024).

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

1325351680 is a wasteful number, since it uses less digits than its factorization.

1325351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 1325351680 is about 36405.3798222186. The cubic root of 1325351680 is about 1098.4417827129.

The spelling of 1325351680 in words is "one billion, three hundred twenty-five million, three hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 127 128 155 160 248 254 256 263 310 320 496 508 526 620 635 640 992 1016 1052 1240 1270 1280 1315 1984 2032 2104 2480 2540 2630 3937 3968 4064 4208 4960 5080 5260 7874 7936 8128 8153 8416 9920 10160 10520 15748 16256 16306 16832 19685 19840 20320 21040 31496 32512 32612 33401 33664 39370 39680 40640 40765 42080 62992 65224 66802 67328 78740 81280 81530 84160 125984 130448 133604 157480 162560 163060 167005 168320 251968 260896 267208 314960 326120 334010 336640 503936 521792 534416 629920 652240 668020 1007872 1035431 1043584 1068832 1259840 1304480 1336040 2070862 2087168 2137664 2519680 2608960 2672080 4141724 4275328 5039360 5177155 5217920 5344160 8283448 8550656 10354310 10435840 10688320 16566896 20708620 21376640 33133792 41417240 42753280 66267584 82834480 132535168 165668960 265070336 331337920 662675840 1325351680