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5419400 = 23527379
BaseRepresentation
bin10100101011000110001000
3101012100000112
4110223012020
52341410100
6312053452
764031000
oct24530610
911170015
105419400
113071748
121994288
13117995c
14a11000
15720b35
hex52b188

5419400 has 96 divisors (see below), whose sum is σ = 14880000. Its totient is φ = 1834560.

The previous prime is 5419399. The next prime is 5419439. The reversal of 5419400 is 49145.

It is a happy number.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68561 + ... + 68639.

It is an arithmetic number, because the mean of its divisors is an integer number (155000).

Almost surely, 25419400 is an apocalyptic number.

5419400 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 5419400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440000).

5419400 is an abundant number, since it is smaller than the sum of its proper divisors (9460600).

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

5419400 is a wasteful number, since it uses less digits than its factorization.

5419400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 5419400 is about 2327.9604807642. The cubic root of 5419400 is about 175.6509092865.

The spelling of 5419400 in words is "five million, four hundred nineteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 79 98 100 140 158 175 196 200 245 280 316 343 350 392 395 490 553 632 686 700 790 980 1106 1225 1372 1400 1580 1715 1960 1975 2212 2450 2744 2765 3160 3430 3871 3950 4424 4900 5530 6860 7742 7900 8575 9800 11060 13720 13825 15484 15800 17150 19355 22120 27097 27650 30968 34300 38710 54194 55300 68600 77420 96775 108388 110600 135485 154840 193550 216776 270970 387100 541940 677425 774200 1083880 1354850 2709700 5419400