Search a number
-
+
103661430 = 23579191229
BaseRepresentation
bin1100010110110…
…11111101110110
321020001112202020
412023123331312
5203014131210
614141454010
72366051625
oct613337566
9236045666
10103661430
1153572404
122a871306
1318626232
14daa56bc
159179770
hex62dbf76

103661430 has 64 divisors (see below), whose sum is σ = 254361600. Its totient is φ = 27031680.

The previous prime is 103661417. The next prime is 103661431. The reversal of 103661430 is 34166301.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 103661430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103661431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452556 + ... + 452784.

It is an arithmetic number, because the mean of its divisors is an integer number (3974400).

Almost surely, 2103661430 is an apocalyptic number.

103661430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103661430 is an abundant number, since it is smaller than the sum of its proper divisors (150700170).

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

103661430 is a wasteful number, since it uses less digits than its factorization.

103661430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509.

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

The square root of 103661430 is about 10181.4257351316. The cubic root of 103661430 is about 469.7560677763.

The spelling of 103661430 in words is "one hundred three million, six hundred sixty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 79 158 191 229 237 382 395 458 474 573 687 790 955 1145 1146 1185 1374 1910 2290 2370 2865 3435 5730 6870 15089 18091 30178 36182 43739 45267 54273 75445 87478 90455 90534 108546 131217 150890 180910 218695 226335 262434 271365 437390 452670 542730 656085 1312170 3455381 6910762 10366143 17276905 20732286 34553810 51830715 103661430