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27148000 = 255311617
BaseRepresentation
bin110011110001…
…1111011100000
31220002021001111
41213203323200
523422214000
62405513104
7446516455
oct147437340
956067044
1027148000
1114362770
129112794
135816b09
14386982c
1525b3cba
hex19e3ee0

27148000 has 96 divisors (see below), whose sum is σ = 72884448. Its totient is φ = 9856000.

The previous prime is 27147983. The next prime is 27148001. The reversal of 27148000 is 84172.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27148001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43692 + ... + 44308.

It is an arithmetic number, because the mean of its divisors is an integer number (759213).

Almost surely, 227148000 is an apocalyptic number.

27148000 is a gapful number since it is divisible by the number (20) 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 27148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36442224).

27148000 is an abundant number, since it is smaller than the sum of its proper divisors (45736448).

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

27148000 is a wasteful number, since it uses less digits than its factorization.

27148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 27148000 is about 5210.3742667874. The cubic root of 27148000 is about 300.5471496324.

The spelling of 27148000 in words is "twenty-seven million, one hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 617 800 880 1000 1100 1234 1375 1760 2000 2200 2468 2750 3085 4000 4400 4936 5500 6170 6787 8800 9872 11000 12340 13574 15425 19744 22000 24680 27148 30850 33935 44000 49360 54296 61700 67870 77125 98720 108592 123400 135740 154250 169675 217184 246800 271480 308500 339350 493600 542960 617000 678700 848375 1085920 1234000 1357400 1696750 2468000 2714800 3393500 5429600 6787000 13574000 27148000