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1320135732 = 2234191311637
BaseRepresentation
bin100111010101111…
…1010110000110100
310102000001211210000
41032223322300310
510200423320412
6334555031300
744466653136
oct11653726064
93360054700
101320135732
11618200573
1230a13b530
13180668106
14c7483056
157ad6b4dc
hex4eafac34

1320135732 has 120 divisors (see below), whose sum is σ = 3662699040. Its totient is φ = 413449920.

The previous prime is 1320135703. The next prime is 1320135743. The reversal of 1320135732 is 2375310231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1320135696 and 1320135705.

It is a congruent number.

It is an unprimeable number.

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, 805618 + ... + 807254.

It is an arithmetic number, because the mean of its divisors is an integer number (30522492).

Almost surely, 21320135732 is an apocalyptic number.

1320135732 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 1320135732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831349520).

1320135732 is an abundant number, since it is smaller than the sum of its proper divisors (2342563308).

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

1320135732 is a wasteful number, since it uses less digits than its factorization.

1320135732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1320135732 is about 36333.6721513254. The cubic root of 1320135732 is about 1096.9989083778.

Adding to 1320135732 its reverse (2375310231), we get a palindrome (3695445963).

The spelling of 1320135732 in words is "one billion, three hundred twenty million, one hundred thirty-five thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 131 162 171 228 262 324 342 393 513 524 684 786 1026 1179 1539 1572 1637 2052 2358 2489 3078 3274 3537 4716 4911 4978 6156 6548 7074 7467 9822 9956 10611 14148 14733 14934 19644 21222 22401 29466 29868 31103 42444 44199 44802 58932 62206 67203 88398 89604 93309 124412 132597 134406 176796 186618 201609 214447 265194 268812 279927 373236 403218 428894 530388 559854 643341 806436 839781 857788 1119708 1286682 1679562 1930023 2519343 2573364 3359124 3860046 4074493 5038686 5790069 7720092 8148986 10077372 11580138 12223479 16297972 17370207 23160276 24446958 34740414 36670437 48893916 69480828 73340874 110011311 146681748 220022622 330033933 440045244 660067866 1320135732