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1375745784 = 2337431571213
BaseRepresentation
bin101001000000000…
…0011011011111000
310112212201010102120
41102000003123320
510304142331114
6344303001240
746043434440
oct12200033370
93485633376
101375745784
11646633196
12324899220
1318c038b7a
14d09db120
1580ba35a9
hex520036f8

1375745784 has 128 divisors (see below), whose sum is σ = 4051069440. Its totient is φ = 381169152.

The previous prime is 1375745731. The next prime is 1375745797. The reversal of 1375745784 is 4875475731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133562 + ... + 1134774.

It is an arithmetic number, because the mean of its divisors is an integer number (31648980).

Almost surely, 21375745784 is an apocalyptic number.

1375745784 is a gapful number since it is divisible by the number (14) 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 1375745784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025534720).

1375745784 is an abundant number, since it is smaller than the sum of its proper divisors (2675323656).

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

1375745784 is a wasteful number, since it uses less digits than its factorization.

1375745784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1425 counting only the distinct ones).

The product of its digits is 3292800, while the sum is 51.

The square root of 1375745784 is about 37091.0472216679. The cubic root of 1375745784 is about 1112.1910524347.

The spelling of 1375745784 in words is "one billion, three hundred seventy-five million, seven hundred forty-five thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 157 168 172 258 301 314 344 471 516 602 628 903 942 1032 1099 1204 1213 1256 1806 1884 2198 2408 2426 3297 3612 3639 3768 4396 4852 6594 6751 7224 7278 8491 8792 9704 13188 13502 14556 16982 20253 25473 26376 27004 29112 33964 40506 47257 50946 52159 54008 67928 81012 94514 101892 104318 141771 156477 162024 189028 190441 203784 208636 283542 312954 365113 378056 380882 417272 567084 571323 625908 730226 761764 1095339 1134168 1142646 1251816 1333087 1460452 1523528 2190678 2285292 2666174 2920904 3999261 4381356 4570584 5332348 7998522 8188963 8762712 10664696 15997044 16377926 24566889 31994088 32755852 49133778 57322741 65511704 98267556 114645482 171968223 196535112 229290964 343936446 458581928 687872892 1375745784