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2064744 = 233311279
BaseRepresentation
bin111111000000101101000
310212220022000
413320011220
51012032434
6112131000
723356443
oct7700550
93786260
102064744
111190300
12836a60
13573a56
143ba65a
152abb99
hex1f8168

2064744 has 96 divisors (see below), whose sum is σ = 6384000. Its totient is φ = 617760.

The previous prime is 2064737. The next prime is 2064761. The reversal of 2064744 is 4474602.

2064744 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26097 + ... + 26175.

It is an arithmetic number, because the mean of its divisors is an integer number (66500).

22064744 is an apocalyptic number.

2064744 is a gapful number since it is divisible by the number (24) 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 2064744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192000).

2064744 is an abundant number, since it is smaller than the sum of its proper divisors (4319256).

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

2064744 is a wasteful number, since it uses less digits than its factorization.

2064744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2064744 is about 1436.9217097671. The cubic root of 2064744 is about 127.3372317426.

It can be divided in two parts, 206 and 4744, that added together give a triangular number (4950 = T99).

The spelling of 2064744 in words is "two million, sixty-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 79 88 99 108 121 132 158 198 216 237 242 264 297 316 363 396 474 484 594 632 711 726 792 869 948 968 1089 1188 1422 1452 1738 1896 2133 2178 2376 2607 2844 2904 3267 3476 4266 4356 5214 5688 6534 6952 7821 8532 8712 9559 10428 13068 15642 17064 19118 20856 23463 26136 28677 31284 38236 46926 57354 62568 76472 86031 93852 114708 172062 187704 229416 258093 344124 516186 688248 1032372 2064744