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1345140 = 223354753
BaseRepresentation
bin101001000011001110100
32112100012000
411020121310
5321021030
644455300
714301456
oct5103164
92470160
101345140
11839695
1254a530
13381354
142702d6
151b8860
hex148674

1345140 has 96 divisors (see below), whose sum is σ = 4354560. Its totient is φ = 344448.

The previous prime is 1345139. The next prime is 1345153. The reversal of 1345140 is 415431.

It is a happy number.

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

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, 25354 + ... + 25406.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

21345140 is an apocalyptic number.

1345140 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 1345140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177280).

1345140 is an abundant number, since it is smaller than the sum of its proper divisors (3009420).

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

1345140 is a wasteful number, since it uses less digits than its factorization.

1345140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1345140 is about 1159.8017071896. The cubic root of 1345140 is about 110.3881603560.

It can be divided in two parts, 1345 and 140, that added together give a triangular number (1485 = T54).

The spelling of 1345140 in words is "one million, three hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 53 54 60 90 94 106 108 135 141 159 180 188 212 235 265 270 282 318 423 470 477 530 540 564 636 705 795 846 940 954 1060 1269 1410 1431 1590 1692 1908 2115 2385 2491 2538 2820 2862 3180 4230 4770 4982 5076 5724 6345 7155 7473 8460 9540 9964 12455 12690 14310 14946 22419 24910 25380 28620 29892 37365 44838 49820 67257 74730 89676 112095 134514 149460 224190 269028 336285 448380 672570 1345140