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261030252 = 22372557797
BaseRepresentation
bin11111000111100…
…00000101101100
3200012011201012010
433203300011230
51013310432002
641522441220
76316502100
oct1743600554
9605151163
10261030252
1112438798a
1273503210
1342105192
142694b900
1517db246c
hexf8f016c

261030252 has 72 divisors (see below), whose sum is σ = 710673264. Its totient is φ = 74352768.

The previous prime is 261030229. The next prime is 261030277. The reversal of 261030252 is 252030162.

261030252 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 (21).

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, 327118 + ... + 327914.

It is an arithmetic number, because the mean of its divisors is an integer number (9870462).

Almost surely, 2261030252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261030252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355336632).

261030252 is an abundant number, since it is smaller than the sum of its proper divisors (449643012).

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

261030252 is a wasteful number, since it uses less digits than its factorization.

261030252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 261030252 is about 16156.4306701697. The cubic root of 261030252 is about 639.0923429137.

The spelling of 261030252 in words is "two hundred sixty-one million, thirty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 557 588 797 1114 1594 1671 2228 2391 3188 3342 3899 4782 5579 6684 7798 9564 11158 11697 15596 16737 22316 23394 27293 33474 39053 46788 54586 66948 78106 81879 109172 117159 156212 163758 234318 327516 443929 468636 887858 1331787 1775716 2663574 3107503 5327148 6215006 9322509 12430012 18645018 21752521 37290036 43505042 65257563 87010084 130515126 261030252