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1350972 = 223371787
BaseRepresentation
bin101001001110100111100
32112122012000
411021310330
5321212342
644542300
714324460
oct5116474
92478160
101350972
11843007
12551990
13383bbc
142724a0
151ba44c
hex149d3c

1350972 has 48 divisors (see below), whose sum is σ = 4005120. Its totient is φ = 385776.

The previous prime is 1350961. The next prime is 1350977. The reversal of 1350972 is 2790531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138 + ... + 1649.

It is an arithmetic number, because the mean of its divisors is an integer number (83440).

21350972 is an apocalyptic number.

1350972 is a gapful number since it is divisible by the number (12) 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 1350972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002560).

1350972 is an abundant number, since it is smaller than the sum of its proper divisors (2654148).

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

1350972 is a wasteful number, since it uses less digits than its factorization.

1350972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1350972 is about 1162.3132107999. The cubic root of 1350972 is about 110.5474636225.

The spelling of 1350972 in words is "one million, three hundred fifty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1787 3574 5361 7148 10722 12509 16083 21444 25018 32166 37527 48249 50036 64332 75054 96498 112581 150108 192996 225162 337743 450324 675486 1350972