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5607120 = 243561383
BaseRepresentation
bin10101011000111011010000
3101112212112010
4111120323100
52413411440
6320102520
765442201
oct25307320
911485463
105607120
11318a792
121a64a40
13121422c
14a5d5a8
1575b580
hex558ed0

5607120 has 80 divisors (see below), whose sum is σ = 17713152. Its totient is φ = 1466880.

The previous prime is 5607113. The next prime is 5607131. The reversal of 5607120 is 217065.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14449 + ... + 14831.

Almost surely, 25607120 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 5607120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8856576).

5607120 is an abundant number, since it is smaller than the sum of its proper divisors (12106032).

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

5607120 is a wasteful number, since it uses less digits than its factorization.

5607120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 5607120 is about 2367.9358099408. The cubic root of 5607120 is about 177.6560289094.

The spelling of 5607120 in words is "five million, six hundred seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 383 488 610 732 766 915 976 1149 1220 1464 1532 1830 1915 2298 2440 2928 3064 3660 3830 4596 4880 5745 6128 7320 7660 9192 11490 14640 15320 18384 22980 23363 30640 45960 46726 70089 91920 93452 116815 140178 186904 233630 280356 350445 373808 467260 560712 700890 934520 1121424 1401780 1869040 2803560 5607120