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1945968 = 24371571
BaseRepresentation
bin111011011000101110000
310122212100220
413123011300
5444232333
6105413040
722353243
oct7330560
93585326
101945968
11110a042
1279a180
1353197b
1438925a
152868b3
hex1db170

1945968 has 40 divisors (see below), whose sum is σ = 5106816. Its totient is φ = 638400.

The previous prime is 1945943. The next prime is 1945969. The reversal of 1945968 is 8695491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1945969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3123 + ... + 3693.

21945968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1945968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553408).

1945968 is an abundant number, since it is smaller than the sum of its proper divisors (3160848).

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

1945968 is a wasteful number, since it uses less digits than its factorization.

1945968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 647 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 1945968 is about 1394.9795697429. The cubic root of 1945968 is about 124.8471304568.

The spelling of 1945968 in words is "one million, nine hundred forty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 571 852 1136 1142 1704 1713 2284 3408 3426 4568 6852 9136 13704 27408 40541 81082 121623 162164 243246 324328 486492 648656 972984 1945968