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10134120 = 2335791069
BaseRepresentation
bin100110101010…
…001001101000
3201001212101210
4212222021220
510043242440
61001113120
7152065353
oct46521150
921055353
1010134120
1157a1a07
1234887a0
13213a929
1414bb29a
15d52a80
hex9aa268

10134120 has 64 divisors (see below), whose sum is σ = 30816000. Its totient is φ = 2665728.

The previous prime is 10134109. The next prime is 10134127. The reversal of 10134120 is 2143101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10134096 and 10134105.

It is not an unprimeable number, because it can be changed into a prime (10134127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8946 + ... + 10014.

It is an arithmetic number, because the mean of its divisors is an integer number (481500).

Almost surely, 210134120 is an apocalyptic number.

10134120 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 10134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15408000).

10134120 is an abundant number, since it is smaller than the sum of its proper divisors (20681880).

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

10134120 is a wasteful number, since it uses less digits than its factorization.

10134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10134120 is about 3183.4132625218. The cubic root of 10134120 is about 216.4023707007.

Adding to 10134120 its reverse (2143101), we get a palindrome (12277221).

The spelling of 10134120 in words is "ten million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1069 1185 1580 1896 2138 2370 3160 3207 4276 4740 5345 6414 8552 9480 10690 12828 16035 21380 25656 32070 42760 64140 84451 128280 168902 253353 337804 422255 506706 675608 844510 1013412 1266765 1689020 2026824 2533530 3378040 5067060 10134120