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261930396 = 223713218451
BaseRepresentation
bin11111001110010…
…11110110011100
3200020212102221210
433213023312130
51014023233041
641554024420
76330241320
oct1747136634
9606772853
10261930396
11124942202
1273878110
134235bb00
1426b03980
1517ede016
hexf9cbd9c

261930396 has 72 divisors (see below), whose sum is σ = 756384384. Its totient is φ = 69076800.

The previous prime is 261930359. The next prime is 261930413. The reversal of 261930396 is 693039162.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 4971 + ... + 23421.

Almost surely, 2261930396 is an apocalyptic number.

261930396 is a gapful number since it is divisible by the number (26) 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 261930396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378192192).

261930396 is an abundant number, since it is smaller than the sum of its proper divisors (494453988).

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

261930396 is a wasteful number, since it uses less digits than its factorization.

261930396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18491 (or 18476 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 261930396 is about 16184.2638386798. The cubic root of 261930396 is about 639.8261213838.

The spelling of 261930396 in words is "two hundred sixty-one million, nine hundred thirty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 2028 2366 3549 4732 7098 14196 18451 36902 55353 73804 110706 129157 221412 239863 258314 387471 479726 516628 719589 774942 959452 1439178 1549884 1679041 2878356 3118219 3358082 5037123 6236438 6716164 9354657 10074246 12472876 18709314 20148492 21827533 37418628 43655066 65482599 87310132 130965198 261930396