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260089380 = 22345315179
BaseRepresentation
bin11111000000010…
…10011000100100
3200010101220120000
433200022120210
51013040330010
641450341300
76305503035
oct1740123044
9603356500
10260089380
111238a5001
127312a830
1341b65b55
1426784a8c
1517c787c0
hexf80a624

260089380 has 120 divisors (see below), whose sum is σ = 842392320. Its totient is φ = 67106880.

The previous prime is 260089351. The next prime is 260089387. The reversal of 260089380 is 83980062.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (260089387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47631 + ... + 52809.

It is an arithmetic number, because the mean of its divisors is an integer number (7019936).

Almost surely, 2260089380 is an apocalyptic number.

260089380 is a gapful number since it is divisible by the number (20) 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 260089380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421196160).

260089380 is an abundant number, since it is smaller than the sum of its proper divisors (582302940).

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

260089380 is a wasteful number, since it uses less digits than its factorization.

260089380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5231 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 260089380 is about 16127.2868145885. The cubic root of 260089380 is about 638.3235584600.

The spelling of 260089380 in words is "two hundred sixty million, eighty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 372 405 465 540 558 620 810 837 930 1116 1395 1620 1674 1860 2511 2790 3348 4185 5022 5179 5580 8370 10044 10358 12555 15537 16740 20716 25110 25895 31074 46611 50220 51790 62148 77685 93222 103580 139833 155370 160549 186444 233055 279666 310740 321098 419499 466110 481647 559332 642196 699165 802745 838998 932220 963294 1398330 1444941 1605490 1677996 1926588 2097495 2408235 2796660 2889882 3210980 4194990 4334823 4816470 5779764 7224705 8389980 8669646 9632940 13004469 14449410 17339292 21674115 26008938 28898820 43348230 52017876 65022345 86696460 130044690 260089380