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2063712 = 25373783
BaseRepresentation
bin111110111110101100000
310212211212210
413313311200
51012014322
6112122120
723353440
oct7676540
93784783
102063712
11118a552
12836340
13573441
143ba120
152ab70c
hex1f7d60

2063712 has 96 divisors (see below), whose sum is σ = 6435072. Its totient is φ = 566784.

The previous prime is 2063707. The next prime is 2063729. The reversal of 2063712 is 2173602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24823 + ... + 24905.

It is an arithmetic number, because the mean of its divisors is an integer number (67032).

22063712 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 2063712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536).

2063712 is an abundant number, since it is smaller than the sum of its proper divisors (4371360).

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

2063712 is a wasteful number, since it uses less digits than its factorization.

2063712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 2063712 is about 1436.5625639004. The cubic root of 2063712 is about 127.3160129824.

It can be divided in two parts, 2063 and 712, that added together give a triangular number (2775 = T74).

The spelling of 2063712 in words is "two million, sixty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 83 84 96 111 112 148 166 168 222 224 249 259 296 332 336 444 498 518 581 592 664 672 777 888 996 1036 1162 1184 1328 1554 1743 1776 1992 2072 2324 2656 3071 3108 3486 3552 3984 4144 4648 6142 6216 6972 7968 8288 9213 9296 12284 12432 13944 18426 18592 21497 24568 24864 27888 36852 42994 49136 55776 64491 73704 85988 98272 128982 147408 171976 257964 294816 343952 515928 687904 1031856 2063712