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1399685952 = 263710310111
BaseRepresentation
bin101001101101101…
…1000001101000000
310121112202102011110
41103123120031000
510331304422302
6350520043320
746454064030
oct12333301500
93545672143
101399685952
116590a4855
12330903540
13193c9b852
14d3c6d8c0
1582d31b6c
hex536d8340

1399685952 has 112 divisors (see below), whose sum is σ = 4273897472. Its totient is φ = 395988480.

The previous prime is 1399685941. The next prime is 1399685971. The reversal of 1399685952 is 2595869931.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×13996859522 = 3918241528452292608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1399685892 and 1399685901.

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 15 ways as a sum of consecutive naturals, for example, 133377 + ... + 143487.

Almost surely, 21399685952 is an apocalyptic number.

1399685952 is a gapful number since it is divisible by the number (12) 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 1399685952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136948736).

1399685952 is an abundant number, since it is smaller than the sum of its proper divisors (2874211520).

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

1399685952 is a wasteful number, since it uses less digits than its factorization.

1399685952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10236 (or 10226 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 57.

The square root of 1399685952 is about 37412.3769894403. The cubic root of 1399685952 is about 1118.6052877248.

The spelling of 1399685952 in words is "one billion, three hundred ninety-nine million, six hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 168 192 206 224 309 336 412 448 618 672 721 824 1236 1344 1442 1648 2163 2472 2884 3296 4326 4944 5768 6592 8652 9888 10111 11536 17304 19776 20222 23072 30333 34608 40444 46144 60666 69216 70777 80888 121332 138432 141554 161776 212331 242664 283108 323552 424662 485328 566216 647104 849324 970656 1041433 1132432 1698648 1941312 2082866 2264864 3124299 3397296 4165732 4529728 6248598 6794592 7290031 8331464 12497196 13589184 14580062 16662928 21870093 24994392 29160124 33325856 43740186 49988784 58320248 66651712 87480372 99977568 116640496 174960744 199955136 233280992 349921488 466561984 699842976 1399685952