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1332042140 = 22511131727397
BaseRepresentation
bin100111101100101…
…0101100110011100
310102211110202022002
41033121111212130
510212000322030
6340102141432
745003112532
oct11731254634
93384422262
101332042140
116239a2a80
12312121878
13182c76620
14c8ca2152
157be1e245
hex4f65599c

1332042140 has 96 divisors (see below), whose sum is σ = 3479765184. Its totient is φ = 420802560.

The previous prime is 1332042133. The next prime is 1332042199. The reversal of 1332042140 is 412402331.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 34922 + ... + 62318.

It is an arithmetic number, because the mean of its divisors is an integer number (36247554).

Almost surely, 21332042140 is an apocalyptic number.

1332042140 is a gapful number since it is divisible by the number (10) 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 1332042140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739882592).

1332042140 is an abundant number, since it is smaller than the sum of its proper divisors (2147723044).

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

1332042140 is a wasteful number, since it uses less digits than its factorization.

1332042140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27447 (or 27445 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1332042140 is about 36497.1524916671. The cubic root of 1332042140 is about 1100.2870160133.

Adding to 1332042140 its reverse (412402331), we get a palindrome (1744444471).

The spelling of 1332042140 in words is "one billion, three hundred thirty-two million, forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 17 20 22 26 34 44 52 55 65 68 85 110 130 143 170 187 220 221 260 286 340 374 442 572 715 748 884 935 1105 1430 1870 2210 2431 2860 3740 4420 4862 9724 12155 24310 27397 48620 54794 109588 136985 273970 301367 356161 465749 547940 602734 712322 931498 1205468 1424644 1506835 1780805 1862996 2328745 3013670 3561610 3917771 4657490 5123239 6027340 6054737 7123220 7835542 9314980 10246478 12109474 15671084 19588855 20492956 24218948 25616195 30273685 39177710 51232390 60547370 66602107 78355420 102464780 121094740 133204214 266408428 333010535 666021070 1332042140