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1373940 = 2232517449
BaseRepresentation
bin101001111011011110100
32120210200200
411033123310
5322431230
645240500
714451441
oct5173364
92523620
101373940
11859297
12563130
133914a9
1427a9c8
151c2160
hex14f6f4

1373940 has 72 divisors (see below), whose sum is σ = 4422600. Its totient is φ = 344064.

The previous prime is 1373891. The next prime is 1373959. The reversal of 1373940 is 493731.

It can be written as a sum of positive squares in 4 ways, for example, as 345744 + 1028196 = 588^2 + 1014^2 .

It is a super-2 number, since 2×13739402 = 3775422247200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2836 + ... + 3284.

It is an arithmetic number, because the mean of its divisors is an integer number (61425).

21373940 is an apocalyptic number.

1373940 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 1373940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211300).

1373940 is an abundant number, since it is smaller than the sum of its proper divisors (3048660).

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

1373940 is a wasteful number, since it uses less digits than its factorization.

1373940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1373940 is about 1172.1518672937. The cubic root of 1373940 is about 111.1704224080.

The spelling of 1373940 in words is "one million, three hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 449 510 612 765 898 1020 1347 1530 1796 2245 2694 3060 4041 4490 5388 6735 7633 8082 8980 13470 15266 16164 20205 22899 26940 30532 38165 40410 45798 68697 76330 80820 91596 114495 137394 152660 228990 274788 343485 457980 686970 1373940