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1325132280 = 233256160343
BaseRepresentation
bin100111011111011…
…1110100111111000
310102100110200202100
41032332332213320
510203213213110
6335254103400
744560303263
oct11676764770
93370420670
101325132280
1162000354a
1230b94ab60
131816c7454
14c7dc3cda
157b506bc0
hex4efbe9f8

1325132280 has 96 divisors (see below), whose sum is σ = 4377353760. Its totient is φ = 347569920.

The previous prime is 1325132273. The next prime is 1325132309. The reversal of 1325132280 is 822315231.

1325132280 is a `hidden beast` number, since 13 + 251 + 322 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8212 + ... + 52131.

It is an arithmetic number, because the mean of its divisors is an integer number (45597435).

Almost surely, 21325132280 is an apocalyptic number.

1325132280 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 1325132280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188676880).

1325132280 is an abundant number, since it is smaller than the sum of its proper divisors (3052221480).

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

1325132280 is a wasteful number, since it uses less digits than its factorization.

1325132280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60421 (or 60414 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1325132280 is about 36402.3664065951. The cubic root of 1325132280 is about 1098.3811669960.

The spelling of 1325132280 in words is "one billion, three hundred twenty-five million, one hundred thirty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 60343 120686 181029 241372 301715 362058 482744 543087 603430 724116 905145 1086174 1206860 1448232 1810290 2172348 2413720 2715435 3620580 3680923 4344696 5430870 7241160 7361846 10861740 11042769 14723692 18404615 21723480 22085538 29447384 33128307 36809230 44171076 55213845 66256614 73618460 88342152 110427690 132513228 147236920 165641535 220855380 265026456 331283070 441710760 662566140 1325132280