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1393874010 = 2325193112621
BaseRepresentation
bin101001100010100…
…1101010001011010
310121010211010200100
41103011031101122
510323312432020
6350151320230
746353506424
oct12305152132
93533733610
101393874010
116558951a1
1232a980076
13192a15329
14d3199814
1582584a90
hex5314d45a

1393874010 has 96 divisors (see below), whose sum is σ = 3828539520. Its totient is φ = 350870400.

The previous prime is 1393873993. The next prime is 1393874011. The reversal of 1393874010 is 104783931.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1393874011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530500 + ... + 533120.

It is an arithmetic number, because the mean of its divisors is an integer number (39880620).

Almost surely, 21393874010 is an apocalyptic number.

1393874010 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 1393874010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914269760).

1393874010 is an abundant number, since it is smaller than the sum of its proper divisors (2434665510).

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

1393874010 is a wasteful number, since it uses less digits than its factorization.

1393874010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1393874010 is about 37334.6221354924. The cubic root of 1393874010 is about 1117.0548712888.

The spelling of 1393874010 in words is "one billion, three hundred ninety-three million, eight hundred seventy-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 311 342 570 622 855 933 1555 1710 1866 2621 2799 3110 4665 5242 5598 5909 7863 9330 11818 13105 13995 15726 17727 23589 26210 27990 29545 35454 39315 47178 49799 53181 59090 78630 88635 99598 106362 117945 149397 177270 235890 248995 265905 298794 448191 497990 531810 746985 815131 896382 1493970 1630262 2240955 2445393 4075655 4481910 4890786 7336179 8151310 12226965 14672358 15487489 24453930 30974978 36680895 46462467 73361790 77437445 92924934 139387401 154874890 232312335 278774802 464624670 696937005 1393874010