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1399686642 = 234193114669
BaseRepresentation
bin101001101101101…
…1000010111110010
310121112202110010000
41103123120113302
510331304433032
6350520050430
746454066034
oct12333302762
93545673100
101399686642
116590a5322
12330903a16
13193c9bc63
14d3c6dc54
1582d31e7c
hex536d85f2

1399686642 has 80 divisors (see below), whose sum is σ = 3408134400. Its totient is φ = 427718880.

The previous prime is 1399686641. The next prime is 1399686671. The reversal of 1399686642 is 2466869931.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1399686641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88084 + ... + 102752.

It is an arithmetic number, because the mean of its divisors is an integer number (42601680).

Almost surely, 21399686642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1399686642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704067200).

1399686642 is an abundant number, since it is smaller than the sum of its proper divisors (2008447758).

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

1399686642 is a wasteful number, since it uses less digits than its factorization.

1399686642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14733 (or 14724 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 1399686642 is about 37412.3862109863. The cubic root of 1399686642 is about 1118.6054715369.

The spelling of 1399686642 in words is "one billion, three hundred ninety-nine million, six hundred eighty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 81 93 114 162 171 186 279 342 513 558 589 837 1026 1178 1539 1674 1767 2511 3078 3534 5022 5301 10602 14669 15903 29338 31806 44007 47709 88014 95418 132021 264042 278711 396063 454739 557422 792126 836133 909478 1188189 1364217 1672266 2376378 2508399 2728434 4092651 5016798 7525197 8185302 8640041 12277953 15050394 17280082 22575591 24555906 25920123 36833859 45151182 51840246 73667718 77760369 155520738 233281107 466562214 699843321 1399686642