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1375837056 = 27331136191
BaseRepresentation
bin101001000000001…
…1001101110000000
310112212212202122000
41102000121232000
510304203241211
6344304544000
746044264516
oct12200315600
93485782560
101375837056
11646695820
12324922000
1318c06b589
14d0a224b6
1580bc0656
hex52019b80

1375837056 has 128 divisors (see below), whose sum is σ = 4429900800. Its totient is φ = 416908800.

The previous prime is 1375837033. The next prime is 1375837091. The reversal of 1375837056 is 6507385731.

1375837056 is a `hidden beast` number, since 13 + 7 + 583 + 7 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19921 + ... + 56111.

It is an arithmetic number, because the mean of its divisors is an integer number (34608600).

Almost surely, 21375837056 is an apocalyptic number.

1375837056 is a gapful number since it is divisible by the number (16) 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 1375837056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214950400).

1375837056 is an abundant number, since it is smaller than the sum of its proper divisors (3054063744).

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

1375837056 is a wasteful number, since it uses less digits than its factorization.

1375837056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36225 (or 36207 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 1375837056 is about 37092.2775790325. The cubic root of 1375837056 is about 1112.2156474963.

The spelling of 1375837056 in words is "one billion, three hundred seventy-five million, eight hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 19008 36191 38016 72382 108573 144764 217146 289528 325719 398101 434292 579056 651438 796202 868584 977157 1158112 1194303 1302876 1592404 1737168 1954314 2316224 2388606 2605752 3184808 3474336 3582909 3908628 4632448 4777212 5211504 6369616 6948672 7165818 7817256 9554424 10423008 10748727 12739232 13897344 14331636 15634512 19108848 20846016 21497454 25478464 28663272 31269024 38217696 41692032 42994908 50956928 57326544 62538048 76435392 85989816 114653088 125076096 152870784 171979632 229306176 343959264 458612352 687918528 1375837056