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2075472 = 243272971
BaseRepresentation
bin111111010101101010000
310220110000100
413322231100
51012403342
6112252400
723432640
oct7725520
93813010
102075472
111198373
12841100
135788b9
143c0520
152aee4c
hex1fab50

2075472 has 120 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 564480.

The previous prime is 2075467. The next prime is 2075483. The reversal of 2075472 is 2745702.

2075472 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a congruent number.

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, 29197 + ... + 29267.

It is an arithmetic number, because the mean of its divisors is an integer number (58032).

22075472 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 2075472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

2075472 is an abundant number, since it is smaller than the sum of its proper divisors (4888368).

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

2075472 is a wasteful number, since it uses less digits than its factorization.

2075472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2075472 is about 1440.6498533648. The cubic root of 2075472 is about 127.5573905417.

The spelling of 2075472 in words is "two million, seventy-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 71 72 84 87 112 116 126 142 144 168 174 203 213 232 252 261 284 336 348 406 426 464 497 504 522 568 609 639 696 812 852 994 1008 1044 1136 1218 1278 1392 1491 1624 1704 1827 1988 2059 2088 2436 2556 2982 3248 3408 3654 3976 4118 4176 4473 4872 5112 5964 6177 7308 7952 8236 8946 9744 10224 11928 12354 14413 14616 16472 17892 18531 23856 24708 28826 29232 32944 35784 37062 43239 49416 57652 71568 74124 86478 98832 115304 129717 148248 172956 230608 259434 296496 345912 518868 691824 1037736 2075472