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2931072 = 27317449
BaseRepresentation
bin1011001011100110000000
312111220200020
423023212000
51222243242
6142453440
733625254
oct13134600
95456606
102931072
111722181
12b94280
137b8181
14564264
153cd6ec
hex2cb980

2931072 has 64 divisors (see below), whose sum is σ = 8262000. Its totient is φ = 917504.

The previous prime is 2931067. The next prime is 2931079. The reversal of 2931072 is 2701392.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2931079) 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, 6304 + ... + 6752.

22931072 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 2931072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131000).

2931072 is an abundant number, since it is smaller than the sum of its proper divisors (5330928).

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

2931072 is a wasteful number, since it uses less digits than its factorization.

2931072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2931072 is about 1712.0373827694. The cubic root of 2931072 is about 143.1118169560. Note that the first 3 decimals are identical.

The spelling of 2931072 in words is "two million, nine hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 449 544 816 898 1088 1347 1632 1796 2176 2694 3264 3592 5388 6528 7184 7633 10776 14368 15266 21552 22899 28736 30532 43104 45798 57472 61064 86208 91596 122128 172416 183192 244256 366384 488512 732768 977024 1465536 2931072