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5601144 = 2332373139
BaseRepresentation
bin10101010111011101111000
3101112120022210
4111113131320
52413214034
6320015120
765415603
oct25273570
911476283
105601144
11318624a
121a614a0
1312115b3
14a5b33a
157598e9
hex557778

5601144 has 64 divisors (see below), whose sum is σ = 14918400. Its totient is φ = 1748736.

The previous prime is 5601139. The next prime is 5601149. The reversal of 5601144 is 4411065.

5601144 = T45 + T46 + ... + T322.

It is an interprime number because it is at equal distance from previous prime (5601139) and next prime (5601149).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 5601144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5601149) 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, 40227 + ... + 40365.

It is an arithmetic number, because the mean of its divisors is an integer number (233100).

Almost surely, 25601144 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 5601144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7459200).

5601144 is an abundant number, since it is smaller than the sum of its proper divisors (9317256).

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

5601144 is a wasteful number, since it uses less digits than its factorization.

5601144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5601144 is about 2366.6736150133. The cubic root of 5601144 is about 177.5928919321.

The spelling of 5601144 in words is "five million, six hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 73 92 138 139 146 184 219 276 278 292 417 438 552 556 584 834 876 1112 1668 1679 1752 3197 3336 3358 5037 6394 6716 9591 10074 10147 12788 13432 19182 20148 20294 25576 30441 38364 40296 40588 60882 76728 81176 121764 233381 243528 466762 700143 933524 1400286 1867048 2800572 5601144