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261163032 = 233131077823
BaseRepresentation
bin11111001000100…
…00100000011000
3200012102110022220
433210100200120
51013324204112
641525344040
76320564154
oct1744204030
9605373286
10261163032
11124468719
1273568020
1342150750
1426984064
1517ddb98c
hexf910818

261163032 has 64 divisors (see below), whose sum is σ = 709793280. Its totient is φ = 79596672.

The previous prime is 261162997. The next prime is 261163033. The reversal of 261163032 is 230361162.

It is a happy number.

It is a super-2 number, since 2×2611630322 = 136412258566866048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 261162993 and 261163011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261163033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29473 + ... + 37295.

It is an arithmetic number, because the mean of its divisors is an integer number (11090520).

Almost surely, 2261163032 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 261163032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354896640).

261163032 is an abundant number, since it is smaller than the sum of its proper divisors (448630248).

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

261163032 is a wasteful number, since it uses less digits than its factorization.

261163032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7952 (or 7948 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 261163032 is about 16160.5393474352. The cubic root of 261163032 is about 639.2006883336.

The spelling of 261163032 in words is "two hundred sixty-one million, one hundred sixty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 156 214 312 321 428 642 856 1284 1391 2568 2782 4173 5564 7823 8346 11128 15646 16692 23469 31292 33384 46938 62584 93876 101699 187752 203398 305097 406796 610194 813592 837061 1220388 1674122 2440776 2511183 3348244 5022366 6696488 10044732 10881793 20089464 21763586 32645379 43527172 65290758 87054344 130581516 261163032