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2143152 = 243311241
BaseRepresentation
bin1000001011001110110000
311000212212000
420023032300
51022040102
6113534000
724134154
oct10131660
94025760
102143152
111234200
12874300
135a064b
143db064
152c501c
hex20b3b0

2143152 has 120 divisors (see below), whose sum is σ = 6926640. Its totient is φ = 633600.

The previous prime is 2143147. The next prime is 2143157. The reversal of 2143152 is 2513412.

It is an interprime number because it is at equal distance from previous prime (2143147) and next prime (2143157).

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

Its product of digits (240) is a multiple of the sum of its prime factors (80).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2143157) 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, 52252 + ... + 52292.

It is an arithmetic number, because the mean of its divisors is an integer number (57722).

22143152 is an apocalyptic number.

2143152 is a gapful number since it is divisible by the number (22) 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 2143152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463320).

2143152 is an abundant number, since it is smaller than the sum of its proper divisors (4783488).

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

2143152 is a wasteful number, since it uses less digits than its factorization.

2143152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 2143152 is about 1463.9508188460. The cubic root of 2143152 is about 128.9291119451.

Adding to 2143152 its reverse (2513412), we get a palindrome (4656564).

The spelling of 2143152 in words is "two million, one hundred forty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 41 44 48 54 66 72 82 88 99 108 121 123 132 144 164 176 198 216 242 246 264 297 328 363 369 396 432 451 484 492 528 594 656 726 738 792 902 968 984 1089 1107 1188 1353 1452 1476 1584 1804 1936 1968 2178 2214 2376 2706 2904 2952 3267 3608 4059 4356 4428 4752 4961 5412 5808 5904 6534 7216 8118 8712 8856 9922 10824 12177 13068 14883 16236 17424 17712 19844 21648 24354 26136 29766 32472 39688 44649 48708 52272 59532 64944 79376 89298 97416 119064 133947 178596 194832 238128 267894 357192 535788 714384 1071576 2143152