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1375522320 = 243531318311
BaseRepresentation
bin101000111111100…
…1100111000010000
310112212021202220010
41101333030320100
510304113203240
6344254114520
746041514104
oct12177147020
93485252803
101375522320
116464a0307
123247aba40
1318bc8b243
14d097d904
1580b5c280
hex51fcce10

1375522320 has 80 divisors (see below), whose sum is σ = 4277976192. Its totient is φ = 365614080.

The previous prime is 1375522301. The next prime is 1375522321. The reversal of 1375522320 is 232255731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1375522321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65965 + ... + 84275.

Almost surely, 21375522320 is an apocalyptic number.

1375522320 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 1375522320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138988096).

1375522320 is an abundant number, since it is smaller than the sum of its proper divisors (2902453872).

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

1375522320 is a wasteful number, since it uses less digits than its factorization.

1375522320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18640 (or 18634 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 1375522320 is about 37088.0347281977. The cubic root of 1375522320 is about 1112.1308310086.

The spelling of 1375522320 in words is "one billion, three hundred seventy-five million, five hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 313 626 939 1252 1565 1878 2504 3130 3756 4695 5008 6260 7512 9390 12520 15024 18311 18780 25040 36622 37560 54933 73244 75120 91555 109866 146488 183110 219732 274665 292976 366220 439464 549330 732440 878928 1098660 1464880 2197320 4394640 5731343 11462686 17194029 22925372 28656715 34388058 45850744 57313430 68776116 85970145 91701488 114626860 137552232 171940290 229253720 275104464 343880580 458507440 687761160 1375522320