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1393367136 = 253721392131
BaseRepresentation
bin101001100001101…
…0001100001100000
310121002212101101020
41103003101201200
510323200222021
6350132405440
746346265600
oct12303214140
93532771336
101393367136
11655579397
1232a776880
131928986c5
14d30a6c00
15824d47c6
hex530d1860

1393367136 has 144 divisors (see below), whose sum is σ = 4287366720. Its totient is φ = 395055360.

The previous prime is 1393367111. The next prime is 1393367149. The reversal of 1393367136 is 6317633931.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 652791 + ... + 654921.

It is an arithmetic number, because the mean of its divisors is an integer number (29773380).

Almost surely, 21393367136 is an apocalyptic number.

1393367136 is a gapful number since it is divisible by the number (16) 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 1393367136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143683360).

1393367136 is an abundant number, since it is smaller than the sum of its proper divisors (2893999584).

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

1393367136 is a wasteful number, since it uses less digits than its factorization.

1393367136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2282 counting only the distinct ones).

The product of its digits is 183708, while the sum is 42.

The square root of 1393367136 is about 37327.8332615222. The cubic root of 1393367136 is about 1116.9194514175.

The spelling of 1393367136 in words is "one billion, three hundred ninety-three million, three hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 139 147 168 196 224 278 294 336 392 417 556 588 672 784 834 973 1112 1176 1568 1668 1946 2131 2224 2352 2919 3336 3892 4262 4448 4704 5838 6393 6672 6811 7784 8524 11676 12786 13344 13622 14917 15568 17048 20433 23352 25572 27244 29834 31136 34096 40866 44751 46704 51144 54488 59668 68192 81732 89502 93408 102288 104419 108976 119336 163464 179004 204576 208838 217952 238672 296209 313257 326928 358008 417676 477344 592418 626514 653856 716016 835352 888627 1184836 1253028 1432032 1670704 1777254 2073463 2369672 2506056 3341408 3554508 4146926 4739344 5012112 6220389 7109016 8293852 9478688 10024224 12440778 14218032 14514241 16587704 24881556 28436064 29028482 33175408 43542723 49763112 58056964 66350816 87085446 99526224 116113928 174170892 199052448 232227856 348341784 464455712 696683568 1393367136