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5531400 = 2332527439
BaseRepresentation
bin10101000110011100001000
3101102000122200
4111012130020
52404001100
6314320200
765005350
oct25063410
911360580
105531400
113138906
121a29060
1311b8924
14a3db60
15743e00
hex546708

5531400 has 144 divisors (see below), whose sum is σ = 21278400. Its totient is φ = 1261440.

The previous prime is 5531371. The next prime is 5531437. The reversal of 5531400 is 41355.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12381 + ... + 12819.

Almost surely, 25531400 is an apocalyptic number.

5531400 is a gapful number since it is divisible by the number (50) 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 5531400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10639200).

5531400 is an abundant number, since it is smaller than the sum of its proper divisors (15747000).

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

5531400 is a wasteful number, since it uses less digits than its factorization.

5531400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5531400 is about 2351.8928547024. The cubic root of 5531400 is about 176.8526975172.

Adding to 5531400 its reverse (41355), we get a palindrome (5572755).

It can be divided in two parts, 553 and 1400, that added together give a triangular number (1953 = T62).

The spelling of 5531400 in words is "five million, five hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 439 450 504 525 600 630 700 840 878 900 1050 1260 1317 1400 1575 1756 1800 2100 2195 2520 2634 3073 3150 3512 3951 4200 4390 5268 6146 6300 6585 7902 8780 9219 10536 10975 12292 12600 13170 15365 15804 17560 18438 19755 21950 24584 26340 27657 30730 31608 32925 36876 39510 43900 46095 52680 55314 61460 65850 73752 76825 79020 87800 92190 98775 110628 122920 131700 138285 153650 158040 184380 197550 221256 230475 263400 276570 307300 368760 395100 460950 553140 614600 691425 790200 921900 1106280 1382850 1843800 2765700 5531400