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1375002240 = 27354117467
BaseRepresentation
bin101000111110100…
…1101111010000000
310112211022100110220
41101331031322000
510304000032430
6344235023040
746034216613
oct12175157200
93484270426
101375002240
11646175597
1232459aa80
1318bb385c1
14d088617a
1580aa8110
hex51f4de80

1375002240 has 128 divisors (see below), whose sum is σ = 4489974720. Its totient is φ = 357703680.

The previous prime is 1375002229. The next prime is 1375002263. The reversal of 1375002240 is 422005731.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1375002240.

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, 69987 + ... + 87453.

Almost surely, 21375002240 is an apocalyptic number.

1375002240 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 1375002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244987360).

1375002240 is an abundant number, since it is smaller than the sum of its proper divisors (3114972480).

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

1375002240 is a wasteful number, since it uses less digits than its factorization.

1375002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17530 (or 17518 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 1375002240 is about 37081.0226396199. The cubic root of 1375002240 is about 1111.9906491286.

Adding to 1375002240 its reverse (422005731), we get a palindrome (1797007971).

The spelling of 1375002240 in words is "one billion, three hundred seventy-five million, two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 320 328 384 410 480 492 615 640 656 820 960 984 1230 1312 1640 1920 1968 2460 2624 3280 3936 4920 5248 6560 7872 9840 13120 15744 17467 19680 26240 34934 39360 52401 69868 78720 87335 104802 139736 174670 209604 262005 279472 349340 419208 524010 558944 698680 716147 838416 1048020 1117888 1397360 1432294 1676832 2096040 2148441 2235776 2794720 2864588 3353664 3580735 4192080 4296882 5589440 5729176 6707328 7161470 8384160 8593764 10742205 11178880 11458352 14322940 16768320 17187528 21484410 22916704 28645880 33536640 34375056 42968820 45833408 57291760 68750112 85937640 91666816 114583520 137500224 171875280 229167040 275000448 343750560 458334080 687501120 1375002240