Search a number
-
+
107025000 = 233551427
BaseRepresentation
bin1100110000100…
…01001001101000
321110101102200220
412120101021220
5204344300000
614341530040
72436461145
oct630211150
9243342626
10107025000
115545a515
122ba13920
1319233204
14102dd3cc
1595e11a0
hex6611268

107025000 has 96 divisors (see below), whose sum is σ = 334666080. Its totient is φ = 28520000.

The previous prime is 107024999. The next prime is 107025001. The reversal of 107025000 is 520701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107024999) and next prime (107025001).

It is a super-2 number, since 2×1070250002 = 22908701250000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (107025001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74287 + ... + 75713.

It is an arithmetic number, because the mean of its divisors is an integer number (3486105).

Almost surely, 2107025000 is an apocalyptic number.

107025000 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 107025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167333040).

107025000 is an abundant number, since it is smaller than the sum of its proper divisors (227641080).

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

107025000 is an equidigital number, since it uses as much as digits as its factorization.

107025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 107025000 is about 10345.2887828228. The cubic root of 107025000 is about 474.7829109560.

Adding to 107025000 its reverse (520701), we get a palindrome (107545701).

The spelling of 107025000 in words is "one hundred seven million, twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1427 1500 1875 2500 2854 3000 3125 3750 4281 5000 5708 6250 7135 7500 8562 9375 11416 12500 14270 15000 17124 18750 21405 25000 28540 34248 35675 37500 42810 57080 71350 75000 85620 107025 142700 171240 178375 214050 285400 356750 428100 535125 713500 856200 891875 1070250 1427000 1783750 2140500 2675625 3567500 4281000 4459375 5351250 7135000 8918750 10702500 13378125 17837500 21405000 26756250 35675000 53512500 107025000