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1375190080 = 265111033793
BaseRepresentation
bin101000111110111…
…1011110001000000
310112211122220010221
41101331323301000
510304022040310
6344243032424
746035631345
oct12175736100
93484586127
101375190080
11646293730
1232466b714
1318bba2c54
14d08d47cc
1580ae3ada
hex51f7bc40

1375190080 has 112 divisors (see below), whose sum is σ = 3608002944. Its totient is φ = 495083520.

The previous prime is 1375190059. The next prime is 1375190093. The reversal of 1375190080 is 800915731.

It is a happy number.

It is a super-2 number, since 2×13751900802 = 3782295512260812800, which contains 22 as substring.

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, 360664 + ... + 364456.

It is an arithmetic number, because the mean of its divisors is an integer number (32214312).

Almost surely, 21375190080 is an apocalyptic number.

1375190080 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 1375190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804001472).

1375190080 is an abundant number, since it is smaller than the sum of its proper divisors (2232812864).

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

1375190080 is a wasteful number, since it uses less digits than its factorization.

1375190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 1375190080 is about 37083.5553851030. Note that the first 3 decimals coincide. The cubic root of 1375190080 is about 1112.0412834250.

The spelling of 1375190080 in words is "one billion, three hundred seventy-five million, one hundred ninety thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 103 110 160 176 206 220 320 352 412 440 515 704 824 880 1030 1133 1648 1760 2060 2266 3296 3520 3793 4120 4532 5665 6592 7586 8240 9064 11330 15172 16480 18128 18965 22660 30344 32960 36256 37930 41723 45320 60688 72512 75860 83446 90640 121376 151720 166892 181280 208615 242752 303440 333784 362560 390679 417230 606880 667568 781358 834460 1213760 1335136 1562716 1668920 1953395 2670272 3125432 3337840 3906790 4297469 6250864 6675680 7813580 8594938 12501728 13351360 15627160 17189876 21487345 25003456 31254320 34379752 42974690 62508640 68759504 85949380 125017280 137519008 171898760 275038016 343797520 687595040 1375190080