Search a number
-
+
11662040 = 2351341547
BaseRepresentation
bin101100011111…
…001011011000
3210221111022102
4230133023120
510441141130
61053542532
7201061055
oct54371330
923844272
1011662040
116645955
123aa4a48
132554220
14179802c
151055645
hexb1f2d8

11662040 has 64 divisors (see below), whose sum is σ = 29000160. Its totient is φ = 4193280.

The previous prime is 11662039. The next prime is 11662043. The reversal of 11662040 is 4026611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11662043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21047 + ... + 21593.

Almost surely, 211662040 is an apocalyptic number.

11662040 is a gapful number since it is divisible by the number (10) 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 11662040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14500080).

11662040 is an abundant number, since it is smaller than the sum of its proper divisors (17338120).

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

11662040 is a wasteful number, since it uses less digits than its factorization.

11662040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 11662040 is about 3414.9729135090. The cubic root of 11662040 is about 226.7730853618.

Adding to 11662040 its reverse (4026611), we get a palindrome (15688651).

The spelling of 11662040 in words is "eleven million, six hundred sixty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 328 410 520 533 547 820 1066 1094 1640 2132 2188 2665 2735 4264 4376 5330 5470 7111 10660 10940 14222 21320 21880 22427 28444 35555 44854 56888 71110 89708 112135 142220 179416 224270 284440 291551 448540 583102 897080 1166204 1457755 2332408 2915510 5831020 11662040