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1357830 = 233547107
BaseRepresentation
bin101001011100000000110
32112222121000
411023200012
5321422310
645034130
714353455
oct5134006
92488530
101357830
11848181
12555946
13387066
14274b9c
151bc4c0
hex14b806

1357830 has 64 divisors (see below), whose sum is σ = 3732480. Its totient is φ = 351072.

The previous prime is 1357823. The next prime is 1357843. The reversal of 1357830 is 387531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1357794 and 1357803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12637 + ... + 12743.

It is an arithmetic number, because the mean of its divisors is an integer number (58320).

21357830 is an apocalyptic number.

1357830 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 1357830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866240).

1357830 is an abundant number, since it is smaller than the sum of its proper divisors (2374650).

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

1357830 is a wasteful number, since it uses less digits than its factorization.

1357830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1357830 is about 1165.2596277225. The cubic root of 1357830 is about 110.7342070094.

Subtracting from 1357830 its reverse (387531), we obtain a cube (970299 = 993).

It can be divided in two parts, 1357 and 830, that added together give a 7-th power (2187 = 37).

The spelling of 1357830 in words is "one million, three hundred fifty-seven thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 107 135 141 214 235 270 282 321 423 470 535 642 705 846 963 1070 1269 1410 1605 1926 2115 2538 2889 3210 4230 4815 5029 5778 6345 9630 10058 12690 14445 15087 25145 28890 30174 45261 50290 75435 90522 135783 150870 226305 271566 452610 678915 1357830