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80375360 = 265131392
BaseRepresentation
bin1001100101001…
…10111001000000
312121020111021012
410302212321000
5131034002420
611550420052
71664115332
oct462467100
9177214235
1080375360
114140821a
1222b01628
13138621b0
14a963452
1570c9dc5
hex4ca6e40

80375360 has 84 divisors (see below), whose sum is σ = 207609948. Its totient is φ = 29463552.

The previous prime is 80375353. The next prime is 80375381. The reversal of 80375360 is 6357308.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19784704 + 60590656 = 4448^2 + 7784^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 578171 + ... + 578309.

It is an arithmetic number, because the mean of its divisors is an integer number (2471547).

Almost surely, 280375360 is an apocalyptic number.

80375360 is a gapful number since it is divisible by the number (80) 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 80375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103804974).

80375360 is an abundant number, since it is smaller than the sum of its proper divisors (127234588).

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

80375360 is a wasteful number, since it uses less digits than its factorization.

80375360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 80375360 is about 8965.2306161080. The cubic root of 80375360 is about 431.5597939254.

The spelling of 80375360 in words is "eighty million, three hundred seventy-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 139 160 208 260 278 320 416 520 556 695 832 1040 1112 1390 1807 2080 2224 2780 3614 4160 4448 5560 7228 8896 9035 11120 14456 18070 19321 22240 28912 36140 38642 44480 57824 72280 77284 96605 115648 144560 154568 193210 251173 289120 309136 386420 502346 578240 618272 772840 1004692 1236544 1255865 1545680 2009384 2511730 3091360 4018768 5023460 6182720 8037536 10046920 16075072 20093840 40187680 80375360