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3125320000 = 2654117103
BaseRepresentation
bin1011101001001000…
…1001100101000000
322001210211201001121
42322102021211000
522400040220000
61234042242024
7140306532055
oct27222114500
98053751047
103125320000
1113641861a0
127327b6314
133aa651a9a
1421910902c
1513459ab1a
hexba489940

3125320000 has 140 divisors (see below), whose sum is σ = 8455493376. Its totient is φ = 1136320000.

The previous prime is 3125319983. The next prime is 3125320007. The reversal of 3125320000 is 235213.

It is a sliding number, since 3125320000 = 320000 + 3125000000 and 1/320000 + 1/3125000000 = 0.000003125320000.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3125320007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 436449 + ... + 443551.

Almost surely, 23125320000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3125320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227746688).

3125320000 is an abundant number, since it is smaller than the sum of its proper divisors (5330173376).

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

3125320000 is an equidigital number, since it uses as much as digits as its factorization.

3125320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7146 (or 7121 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 3125320000 is about 55904.5615312382. The cubic root of 3125320000 is about 1462.0587706392.

Adding to 3125320000 its reverse (235213), we get a palindrome (3125555213).

It can be divided in two parts, 3125 and 320000, that multiplied together give a 9-th power (1000000000 = 109).

The spelling of 3125320000 in words is "three billion, one hundred twenty-five million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 7103 8000 8800 10000 11000 13750 14206 17600 20000 22000 27500 28412 35515 40000 44000 55000 56824 71030 78133 88000 110000 113648 142060 156266 177575 220000 227296 284120 312532 355150 390665 440000 454592 568240 625064 710300 781330 887875 1136480 1250128 1420600 1562660 1775750 1953325 2272960 2500256 2841200 3125320 3551500 3906650 4439375 5000512 5682400 6250640 7103000 7813300 8878750 9766625 11364800 12501280 14206000 15626600 17757500 19533250 25002560 28412000 31253200 35515000 39066500 48833125 56824000 62506400 71030000 78133000 97666250 125012800 142060000 156266000 195332500 284120000 312532000 390665000 625064000 781330000 1562660000 3125320000