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5432280 = 2335729223
BaseRepresentation
bin10100101110001111011000
3101012222200120
4110232033120
52342313110
6312233240
764113360
oct24561730
911188616
105432280
113080397
12199b820
131182789
14a159a0
15724870
hex52e3d8

5432280 has 128 divisors (see below), whose sum is σ = 19353600. Its totient is φ = 1193472.

The previous prime is 5432261. The next prime is 5432311. The reversal of 5432280 is 822345.

5432280 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

5432280 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 5432280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24249 + ... + 24471.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 25432280 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 5432280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676800).

5432280 is an abundant number, since it is smaller than the sum of its proper divisors (13921320).

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

5432280 is a wasteful number, since it uses less digits than its factorization.

5432280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5432280 is about 2330.7252090283. The cubic root of 5432280 is about 175.7899525864.

The spelling of 5432280 in words is "five million, four hundred thirty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 223 232 280 290 348 406 420 435 446 580 609 669 696 812 840 870 892 1015 1115 1160 1218 1338 1561 1624 1740 1784 2030 2230 2436 2676 3045 3122 3345 3480 4060 4460 4683 4872 5352 6090 6244 6467 6690 7805 8120 8920 9366 12180 12488 12934 13380 15610 18732 19401 23415 24360 25868 26760 31220 32335 37464 38802 45269 46830 51736 62440 64670 77604 90538 93660 97005 129340 135807 155208 181076 187320 194010 226345 258680 271614 362152 388020 452690 543228 679035 776040 905380 1086456 1358070 1810760 2716140 5432280