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1375069440 = 2835433827
BaseRepresentation
bin101000111110101…
…1110010100000000
310112211102202122210
41101331132110000
510304004210230
6344240302120
746034616543
oct12175362400
93484382583
101375069440
11646211028
12324611940
1318bb60074
14d08a285a
1580abceb0
hex51f5e500

1375069440 has 144 divisors (see below), whose sum is σ = 4407092928. Its totient is φ = 365395968.

The previous prime is 1375069427. The next prime is 1375069457. The reversal of 1375069440 is 449605731.

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, 1662307 + ... + 1663133.

It is an arithmetic number, because the mean of its divisors is an integer number (30604812).

Almost surely, 21375069440 is an apocalyptic number.

1375069440 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 1375069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203546464).

1375069440 is an abundant number, since it is smaller than the sum of its proper divisors (3032023488).

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

1375069440 is an equidigital number, since it uses as much as digits as its factorization.

1375069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 1375069440 is about 37081.9287524260. The cubic root of 1375069440 is about 1112.0087641426.

The spelling of 1375069440 in words is "one billion, three hundred seventy-five million, sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 433 480 640 768 827 866 960 1280 1299 1654 1732 1920 2165 2481 2598 3308 3464 3840 4135 4330 4962 5196 6495 6616 6928 8270 8660 9924 10392 12405 12990 13232 13856 16540 17320 19848 20784 24810 25980 26464 27712 33080 34640 39696 41568 49620 51960 52928 55424 66160 69280 79392 83136 99240 103920 105856 110848 132320 138560 158784 166272 198480 207840 211712 264640 277120 317568 332544 358091 396960 415680 529280 554240 635136 716182 793920 831360 1058560 1074273 1432364 1587840 1662720 1790455 2148546 2864728 3175680 3580910 4297092 5371365 5729456 7161820 8594184 10742730 11458912 14323640 17188368 21485460 22917824 28647280 34376736 42970920 45835648 57294560 68753472 85941840 91671296 114589120 137506944 171883680 229178240 275013888 343767360 458356480 687534720 1375069440