Search a number
-
+
413582260 = 2257131132011
BaseRepresentation
bin11000101001101…
…100001110110100
31001211020011012111
4120221230032310
51321334113020
6105012300404
713151251120
oct3051541664
91054204174
10413582260
111a2502523
12b6611704
13678b8840
143ccdc580
1526497d5a
hex18a6c3b4

413582260 has 96 divisors (see below), whose sum is σ = 1078947072. Its totient is φ = 129669120.

The previous prime is 413582249. The next prime is 413582287. The reversal of 413582260 is 62285314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204655 + ... + 206665.

It is an arithmetic number, because the mean of its divisors is an integer number (11239032).

Almost surely, 2413582260 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 413582260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539473536).

413582260 is an abundant number, since it is smaller than the sum of its proper divisors (665364812).

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

413582260 is a wasteful number, since it uses less digits than its factorization.

413582260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 413582260 is about 20336.7219580738. The cubic root of 413582260 is about 745.0532280333.

The spelling of 413582260 in words is "four hundred thirteen million, five hundred eighty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 113 130 140 182 226 260 364 452 455 565 791 910 1130 1469 1582 1820 2011 2260 2938 3164 3955 4022 5876 7345 7910 8044 10055 10283 14077 14690 15820 20110 20566 26143 28154 29380 40220 41132 51415 52286 56308 70385 102830 104572 130715 140770 183001 205660 227243 261430 281540 366002 454486 522860 732004 908972 915005 1136215 1590701 1830010 2272430 2954159 3181402 3660020 4544860 5908318 6362804 7953505 11816636 14770795 15907010 20679113 29541590 31814020 41358226 59083180 82716452 103395565 206791130 413582260