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1337130 = 232583179
BaseRepresentation
bin101000110011100101010
32111221012100
411012130222
5320242010
644354230
714236224
oct5063452
92457170
101337130
11833673
12545976
1337a802
1426b414
151b62c0
hex14672a

1337130 has 48 divisors (see below), whose sum is σ = 3538080. Its totient is φ = 350304.

The previous prime is 1337093. The next prime is 1337153. The reversal of 1337130 is 317331.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 7381 + ... + 7559.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

21337130 is an apocalyptic number.

1337130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1337130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769040).

1337130 is an abundant number, since it is smaller than the sum of its proper divisors (2200950).

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

1337130 is a wasteful number, since it uses less digits than its factorization.

1337130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 1337130 is about 1156.3433746081. The cubic root of 1337130 is about 110.1686119369.

The spelling of 1337130 in words is "one million, three hundred thirty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 179 249 358 415 498 537 747 830 895 1074 1245 1494 1611 1790 2490 2685 3222 3735 5370 7470 8055 14857 16110 29714 44571 74285 89142 133713 148570 222855 267426 445710 668565 1337130