Search a number
-
+
4561040 = 245117173
BaseRepresentation
bin10001011001100010010000
322120201120102
4101121202100
52131423130
6241431532
753524331
oct21314220
98521512
104561040
112635860
12163b5a8
13c39053
1486a288
15601645
hex459890

4561040 has 80 divisors (see below), whose sum is σ = 11892096. Its totient is φ = 1612800.

The previous prime is 4561009. The next prime is 4561043. The reversal of 4561040 is 401654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 (4561043) 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, 62444 + ... + 62516.

Almost surely, 24561040 is an apocalyptic number.

4561040 is a gapful number since it is divisible by the number (40) 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 4561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946048).

4561040 is an abundant number, since it is smaller than the sum of its proper divisors (7331056).

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

4561040 is a wasteful number, since it uses less digits than its factorization.

4561040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4561040 is about 2135.6591488344. The cubic root of 4561040 is about 165.8394926011.

Adding to 4561040 its reverse (401654), we get a palindrome (4962694).

The spelling of 4561040 in words is "four million, five hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 71 73 80 88 110 142 146 176 220 284 292 355 365 440 568 584 710 730 781 803 880 1136 1168 1420 1460 1562 1606 2840 2920 3124 3212 3905 4015 5183 5680 5840 6248 6424 7810 8030 10366 12496 12848 15620 16060 20732 25915 31240 32120 41464 51830 57013 62480 64240 82928 103660 114026 207320 228052 285065 414640 456104 570130 912208 1140260 2280520 4561040