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1355130 = 23457239
BaseRepresentation
bin101001010110101111010
32112211220000
411022311322
5321331010
645013430
714342550
oct5126572
92484800
101355130
11846147
12554276
13385a6a
14273bd0
151bb7c0
hex14ad7a

1355130 has 80 divisors (see below), whose sum is σ = 4181760. Its totient is φ = 308448.

The previous prime is 1355129. The next prime is 1355131. The reversal of 1355130 is 315531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1355129) and next prime (1355131).

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

It is not an unprimeable number, because it can be changed into a prime (1355131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5551 + ... + 5789.

It is an arithmetic number, because the mean of its divisors is an integer number (52272).

21355130 is an apocalyptic number.

1355130 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 1355130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090880).

1355130 is an abundant number, since it is smaller than the sum of its proper divisors (2826630).

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

1355130 is a wasteful number, since it uses less digits than its factorization.

1355130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 1355130 is about 1164.1005111244. The cubic root of 1355130 is about 110.6607612049.

It can be divided in two parts, 1355 and 130, that added together give a triangular number (1485 = T54).

The spelling of 1355130 in words is "one million, three hundred fifty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 239 270 315 378 405 478 567 630 717 810 945 1134 1195 1434 1673 1890 2151 2390 2835 3346 3585 4302 5019 5670 6453 7170 8365 10038 10755 12906 15057 16730 19359 21510 25095 30114 32265 38718 45171 50190 64530 75285 90342 96795 135513 150570 193590 225855 271026 451710 677565 1355130