[go: up one dir, main page]

Search a number
-
+
10153170 = 2325373049
BaseRepresentation
bin100110101110…
…110011010010
3201002211112100
4212232303102
510044400140
61001341230
7152205036
oct46566322
921084470
1010153170
115805255
123497816
1321464c1
1414c41c6
15d58530
hex9aecd2

10153170 has 48 divisors (see below), whose sum is σ = 27120600. Its totient is φ = 2633472.

The previous prime is 10153147. The next prime is 10153177. The reversal of 10153170 is 7135101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8139609 + 2013561 = 2853^2 + 1419^2 .

It is a super-2 number, since 2×101531702 = 206173722097800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10153177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1806 + ... + 4854.

Almost surely, 210153170 is an apocalyptic number.

10153170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10153170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13560300).

10153170 is an abundant number, since it is smaller than the sum of its proper divisors (16967430).

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

10153170 is a wasteful number, since it uses less digits than its factorization.

10153170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 10153170 is about 3186.4039291967. The cubic root of 10153170 is about 216.5378827049.

Adding to 10153170 its reverse (7135101), we get a palindrome (17288271).

The spelling of 10153170 in words is "ten million, one hundred fifty-three thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3049 3330 6098 9147 15245 18294 27441 30490 45735 54882 91470 112813 137205 225626 274410 338439 564065 676878 1015317 1128130 1692195 2030634 3384390 5076585 10153170