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115520000 = 2954192
BaseRepresentation
bin1101110001010…
…11001000000000
322001101000122112
412320223020000
5214033120000
615243554452
72601622001
oct670531000
9261330575
10115520000
115a231982
123282ba28
131ac18a3b
14114b11a8
15a21d235
hex6e2b200

115520000 has 150 divisors (see below), whose sum is σ = 304404903. Its totient is φ = 43776000.

The previous prime is 115519979. The next prime is 115520011. The reversal of 115520000 is 25511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 26708224 + 88811776 = 5168^2 + 9424^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7600.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6079991 + ... + 6080009.

Almost surely, 2115520000 is an apocalyptic number.

115520000 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 115520000

115520000 is an abundant number, since it is smaller than the sum of its proper divisors (188884903).

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

115520000 is an frugal number, since it uses more digits than its factorization.

115520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 115520000 is about 10748.0230740355. The cubic root of 115520000 is about 487.0262766090.

Multiplying 115520000 by its product of nonzero digits (50), we get a square (5776000000 = 760002).

115520000 divided by its product of nonzero digits (50) gives a square (2310400 = 15202).

Adding to 115520000 its reverse (25511), we get a palindrome (115545511).

The spelling of 115520000 in words is "one hundred fifteen million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 152 160 190 200 250 256 304 320 361 380 400 475 500 512 608 625 640 722 760 800 950 1000 1216 1250 1280 1444 1520 1600 1805 1900 2000 2375 2432 2500 2560 2888 3040 3200 3610 3800 4000 4750 4864 5000 5776 6080 6400 7220 7600 8000 9025 9500 9728 10000 11552 11875 12160 12800 14440 15200 16000 18050 19000 20000 23104 23750 24320 28880 30400 32000 36100 38000 40000 45125 46208 47500 48640 57760 60800 64000 72200 76000 80000 90250 92416 95000 115520 121600 144400 152000 160000 180500 184832 190000 225625 231040 243200 288800 304000 320000 361000 380000 451250 462080 577600 608000 722000 760000 902500 924160 1155200 1216000 1444000 1520000 1805000 2310400 2888000 3040000 3610000 4620800 5776000 6080000 7220000 11552000 14440000 23104000 28880000 57760000 115520000