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5474100 = 2235271257
BaseRepresentation
bin10100111000011100110100
3101022010001110
4110320130310
52400132400
6313155020
764346322
oct24703464
911263043
105474100
1130a9855
1219bba70
131198818
14a26d12
15731e50
hex538734

5474100 has 72 divisors (see below), whose sum is σ = 16123968. Its totient is φ = 1433600.

The previous prime is 5474087. The next prime is 5474107. The reversal of 5474100 is 14745.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5474107) 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, 21172 + ... + 21428.

It is an arithmetic number, because the mean of its divisors is an integer number (223944).

Almost surely, 25474100 is an apocalyptic number.

5474100 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 5474100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8061984).

5474100 is an abundant number, since it is smaller than the sum of its proper divisors (10649868).

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

5474100 is a wasteful number, since it uses less digits than its factorization.

5474100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 5474100 is about 2339.6794652260. The cubic root of 5474100 is about 176.2399018408.

Adding to 5474100 its reverse (14745), we get a palindrome (5488845).

The spelling of 5474100 in words is "five million, four hundred seventy-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 257 284 300 355 426 514 710 771 852 1028 1065 1285 1420 1542 1775 2130 2570 3084 3550 3855 4260 5140 5325 6425 7100 7710 10650 12850 15420 18247 19275 21300 25700 36494 38550 54741 72988 77100 91235 109482 182470 218964 273705 364940 456175 547410 912350 1094820 1368525 1824700 2737050 5474100