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2148984 = 23339949
BaseRepresentation
bin1000001100101001111000
311001011212000
420030221320
51022231414
6114021000
724160155
oct10145170
94034760
102148984
111238622
12877760
135a31b6
143dd22c
152c6b09
hex20ca78

2148984 has 32 divisors (see below), whose sum is σ = 5970000. Its totient is φ = 716256.

The previous prime is 2148983. The next prime is 2148989. The reversal of 2148984 is 4898412.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4759 + ... + 5190.

22148984 is an apocalyptic number.

2148984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2148984 is an abundant number, since it is smaller than the sum of its proper divisors (3821016).

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

2148984 is a wasteful number, since it uses less digits than its factorization.

2148984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9964 (or 9954 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2148984 is about 1465.9413357976. The cubic root of 2148984 is about 129.0459544225.

The spelling of 2148984 in words is "two million, one hundred forty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 9949 19898 29847 39796 59694 79592 89541 119388 179082 238776 268623 358164 537246 716328 1074492 2148984