Search a number
-
+
755125000 = 23567863
BaseRepresentation
bin101101000000100…
…100101100001000
31221121220022202121
4231000210230020
53021303000000
6202532541024
724466312420
oct5500445410
91847808677
10755125000
11358280653
12190a81774
13c05a0436
1472407480
1546460b1a
hex2d024b08

755125000 has 112 divisors (see below), whose sum is σ = 2024974080. Its totient is φ = 258600000.

The previous prime is 755124977. The next prime is 755125009. The reversal of 755125000 is 521557.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (755125009) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 874569 + ... + 875431.

Almost surely, 2755125000 is an apocalyptic number.

755125000 is a gapful number since it is divisible by the number (70) 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 755125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012487040).

755125000 is an abundant number, since it is smaller than the sum of its proper divisors (1269849080).

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

755125000 is an frugal number, since it uses more digits than its factorization.

755125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 25.

The square root of 755125000 is about 27479.5378418197. The cubic root of 755125000 is about 910.6250988255.

Adding to 755125000 its reverse (521557), we get a palindrome (755646557).

The spelling of 755125000 in words is "seven hundred fifty-five million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 863 875 1000 1250 1400 1726 1750 2500 3125 3452 3500 4315 4375 5000 6041 6250 6904 7000 8630 8750 12082 12500 15625 17260 17500 21575 21875 24164 25000 30205 31250 34520 35000 43150 43750 48328 60410 62500 86300 87500 107875 109375 120820 125000 151025 172600 175000 215750 218750 241640 302050 431500 437500 539375 604100 755125 863000 875000 1078750 1208200 1510250 2157500 2696875 3020500 3775625 4315000 5393750 6041000 7551250 10787500 13484375 15102500 18878125 21575000 26968750 30205000 37756250 53937500 75512500 94390625 107875000 151025000 188781250 377562500 755125000