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1348900 = 225274147
BaseRepresentation
bin101001001010100100100
32112112100021
411021110210
5321131100
644524524
714315440
oct5112444
92475307
101348900
118414a3
12550744
13382c87
14271820
151b9a1a
hex149524

1348900 has 72 divisors (see below), whose sum is σ = 3499776. Its totient is φ = 441600.

The previous prime is 1348891. The next prime is 1348901. The reversal of 1348900 is 98431.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1348901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28677 + ... + 28723.

It is an arithmetic number, because the mean of its divisors is an integer number (48608).

21348900 is an apocalyptic number.

1348900 is a gapful number since it is divisible by the number (10) 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 1348900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749888).

1348900 is an abundant number, since it is smaller than the sum of its proper divisors (2150876).

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

1348900 is a wasteful number, since it uses less digits than its factorization.

1348900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1348900 is about 1161.4215427656. The cubic root of 1348900 is about 110.4909187680.

1348900 divided by its sum of digits (25) gives a triangular number (53956 = T328).

The spelling of 1348900 in words is "one million, three hundred forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 47 50 70 82 94 100 140 164 175 188 205 235 287 329 350 410 470 574 658 700 820 940 1025 1148 1175 1316 1435 1645 1927 2050 2350 2870 3290 3854 4100 4700 5740 6580 7175 7708 8225 9635 13489 14350 16450 19270 26978 28700 32900 38540 48175 53956 67445 96350 134890 192700 269780 337225 674450 1348900