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10143120 = 2435133251
BaseRepresentation
bin100110101100…
…010110010000
3201002022202010
4212230112100
510044034440
61001222520
7152133531
oct46542620
921068663
1010143120
1157a8749
123491a40
132141a60
1414c0688
15d55580
hex9ac590

10143120 has 80 divisors (see below), whose sum is σ = 33872832. Its totient is φ = 2496000.

The previous prime is 10143073. The next prime is 10143137. The reversal of 10143120 is 2134101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 10143096 and 10143105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1495 + ... + 4745.

Almost surely, 210143120 is an apocalyptic number.

10143120 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 10143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16936416).

10143120 is an abundant number, since it is smaller than the sum of its proper divisors (23729712).

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

10143120 is a wasteful number, since it uses less digits than its factorization.

10143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3274 counting only the distinct ones).

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

The square root of 10143120 is about 3184.8265258880. The cubic root of 10143120 is about 216.4664132641.

Adding to 10143120 its reverse (2134101), we get a palindrome (12277221).

The spelling of 10143120 in words is "ten million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 3251 6502 9753 13004 16255 19506 26008 32510 39012 42263 48765 52016 65020 78024 84526 97530 126789 130040 156048 169052 195060 211315 253578 260080 338104 390120 422630 507156 633945 676208 780240 845260 1014312 1267890 1690520 2028624 2535780 3381040 5071560 10143120