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261033030 = 236561587
BaseRepresentation
bin11111000111100…
…00110001000110
3200012011212000000
433203300301012
51013311024110
641522502130
76316513146
oct1743606106
9605155000
10261033030
11124389a85
1273504946
134210651b
142694c926
1517db31c0
hexf8f0c46

261033030 has 112 divisors (see below), whose sum is σ = 717235344. Its totient is φ = 68351040.

The previous prime is 261033013. The next prime is 261033043. The reversal of 261033030 is 30330162.

It is a happy number.

261033030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 261032994 and 261033012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 444397 + ... + 444983.

It is an arithmetic number, because the mean of its divisors is an integer number (6403887).

Almost surely, 2261033030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261033030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358617672).

261033030 is an abundant number, since it is smaller than the sum of its proper divisors (456202314).

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

261033030 is an equidigital number, since it uses as much as digits as its factorization.

261033030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 261033030 is about 16156.5166419003. The cubic root of 261033030 is about 639.0946100739.

Adding to 261033030 its reverse (30330162), we get a palindrome (291363192).

The spelling of 261033030 in words is "two hundred sixty-one million, thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 81 90 122 135 162 183 243 270 305 366 405 486 549 587 610 729 810 915 1098 1174 1215 1458 1647 1761 1830 2430 2745 2935 3294 3522 3645 4941 5283 5490 5870 7290 8235 8805 9882 10566 14823 15849 16470 17610 24705 26415 29646 31698 35807 44469 47547 49410 52830 71614 74115 79245 88938 95094 107421 142641 148230 158490 179035 214842 222345 237735 285282 322263 358070 427923 444690 475470 537105 644526 713205 855846 966789 1074210 1426410 1611315 1933578 2139615 2900367 3222630 4279230 4833945 5800734 8701101 9667890 14501835 17402202 26103303 29003670 43505505 52206606 87011010 130516515 261033030