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61325280 = 25325371151
BaseRepresentation
bin1110100111101…
…1111111100000
311021101122110200
43221323333200
5111144402110
610030225200
71343153622
oct351737740
9137348420
1061325280
1131686655
1218655200
13c922263
148204c12
1555b56c0
hex3a7bfe0

61325280 has 144 divisors (see below), whose sum is σ = 215115264. Its totient is φ = 15897600.

The previous prime is 61325269. The next prime is 61325309. The reversal of 61325280 is 8252316.

61325280 is a `hidden beast` number, since 6 + 132 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52705 + ... + 53855.

It is an arithmetic number, because the mean of its divisors is an integer number (1493856).

Almost surely, 261325280 is an apocalyptic number.

61325280 is a gapful number since it is divisible by the number (60) 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 61325280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632).

61325280 is an abundant number, since it is smaller than the sum of its proper divisors (153789984).

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

61325280 is a wasteful number, since it uses less digits than its factorization.

61325280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1198 counting only the distinct ones).

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

The square root of 61325280 is about 7831.0459071570. The cubic root of 61325280 is about 394.3481852586.

Adding to 61325280 its reverse (8252316), we get a palindrome (69577596).

The spelling of 61325280 in words is "sixty-one million, three hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 444 480 555 592 666 720 740 888 1110 1151 1184 1332 1440 1480 1665 1776 2220 2302 2664 2960 3330 3453 3552 4440 4604 5328 5755 5920 6660 6906 8880 9208 10359 10656 11510 13320 13812 17265 17760 18416 20718 23020 26640 27624 34530 36832 41436 42587 46040 51795 53280 55248 69060 82872 85174 92080 103590 110496 127761 138120 165744 170348 184160 207180 212935 255522 276240 331488 340696 383283 414360 425870 511044 552480 638805 681392 766566 828720 851740 1022088 1277610 1362784 1533132 1657440 1703480 1916415 2044176 2555220 3066264 3406960 3832830 4088352 5110440 6132528 6813920 7665660 10220880 12265056 15331320 20441760 30662640 61325280