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2148432 = 2431113313
BaseRepresentation
bin1000001100100001010000
311001011002120
420030201100
51022222212
6114014240
724155436
oct10144120
94034076
102148432
111238170
12877380
135a2b80
143dcd56
152c688c
hex20c850

2148432 has 80 divisors (see below), whose sum is σ = 6541248. Its totient is φ = 599040.

The previous prime is 2148403. The next prime is 2148437. The reversal of 2148432 is 2348412.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148437) 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, 6708 + ... + 7020.

22148432 is an apocalyptic number.

2148432 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 2148432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270624).

2148432 is an abundant number, since it is smaller than the sum of its proper divisors (4392816).

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

2148432 is a wasteful number, since it uses less digits than its factorization.

2148432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2148432 is about 1465.7530487773. The cubic root of 2148432 is about 129.0349043221.

It can be divided in two parts, 214 and 8432, that added together give a triangular number (8646 = T131).

The spelling of 2148432 in words is "two million, one hundred forty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 313 429 528 572 624 626 858 939 1144 1252 1716 1878 2288 2504 3432 3443 3756 4069 5008 6864 6886 7512 8138 10329 12207 13772 15024 16276 20658 24414 27544 32552 41316 44759 48828 55088 65104 82632 89518 97656 134277 165264 179036 195312 268554 358072 537108 716144 1074216 2148432