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5580720 = 2432523337
BaseRepresentation
bin10101010010011110110000
3101111112022100
4111102132300
52412040340
6315340400
765302215
oct25223660
911445270
105580720
113171972
121a51700
131205202
14a53b0c
15753830
hex5527b0

5580720 has 120 divisors (see below), whose sum is σ = 19614816. Its totient is φ = 1419264.

The previous prime is 5580677. The next prime is 5580721. The reversal of 5580720 is 270855.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×55807202 = 62288871436800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5580721) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16392 + ... + 16728.

Almost surely, 25580720 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 5580720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9807408).

5580720 is an abundant number, since it is smaller than the sum of its proper divisors (14034096).

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

5580720 is a wasteful number, since it uses less digits than its factorization.

5580720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5580720 is about 2362.3547574401. The cubic root of 5580720 is about 177.3767709120.

The spelling of 5580720 in words is "five million, five hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 337 345 360 368 414 460 552 674 690 720 828 920 1011 1035 1104 1348 1380 1656 1685 1840 2022 2070 2696 2760 3033 3312 3370 4044 4140 5055 5392 5520 6066 6740 7751 8088 8280 10110 12132 13480 15165 15502 16176 16560 20220 23253 24264 26960 30330 31004 38755 40440 46506 48528 60660 62008 69759 77510 80880 93012 116265 121320 124016 139518 155020 186024 232530 242640 279036 310040 348795 372048 465060 558072 620080 697590 930120 1116144 1395180 1860240 2790360 5580720