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1239087312 = 243243972063
BaseRepresentation
bin100100111011010…
…1111100011010000
310012100120011020200
41021312233203100
510014201243222
6322541535200
742464032311
oct11166574320
93170504220
101239087312
11586483701
122a6b74500
1316992b778
14ba7c6608
1573babeac
hex49daf8d0

1239087312 has 120 divisors (see below), whose sum is σ = 3586687104. Its totient is φ = 399071232.

The previous prime is 1239087293. The next prime is 1239087319. The reversal of 1239087312 is 2137809321.

1239087312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1239087319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599593 + ... + 601655.

Almost surely, 21239087312 is an apocalyptic number.

1239087312 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 1239087312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793343552).

1239087312 is an abundant number, since it is smaller than the sum of its proper divisors (2347599792).

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

1239087312 is a wasteful number, since it uses less digits than its factorization.

1239087312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1239087312 is about 35200.6720390393. The cubic root of 1239087312 is about 1074.0734217359.

The spelling of 1239087312 in words is "one billion, two hundred thirty-nine million, eighty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 97 129 144 172 194 258 291 344 387 388 516 582 688 774 776 873 1032 1164 1548 1552 1746 2063 2064 2328 3096 3492 4126 4171 4656 6189 6192 6984 8252 8342 12378 12513 13968 16504 16684 18567 24756 25026 33008 33368 37134 37539 49512 50052 66736 74268 75078 88709 99024 100104 148536 150156 177418 200111 200208 266127 297072 300312 354836 400222 532254 600333 600624 709672 798381 800444 1064508 1200666 1419344 1596762 1600888 1800999 2129016 2401332 3193524 3201776 3601998 4258032 4802664 6387048 7203996 8604773 9605328 12774096 14407992 17209546 25814319 28815984 34419092 51628638 68838184 77442957 103257276 137676368 154885914 206514552 309771828 413029104 619543656 1239087312