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2058672 = 243711557
BaseRepresentation
bin111110110100110110000
310212120222010
413312212300
51011334142
6112042520
723332650
oct7664660
93776863
102058672
111186790
12833440
13571065
143b8360
152a9e9c
hex1f69b0

2058672 has 80 divisors (see below), whose sum is σ = 6642432. Its totient is φ = 533760.

The previous prime is 2058671. The next prime is 2058677. The reversal of 2058672 is 2768502.

It is not an unprimeable number, because it can be changed into a prime (2058671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3418 + ... + 3974.

22058672 is an apocalyptic number.

2058672 is a gapful number since it is divisible by the number (22) 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 2058672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321216).

2058672 is an abundant number, since it is smaller than the sum of its proper divisors (4583760).

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

2058672 is a wasteful number, since it uses less digits than its factorization.

2058672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2058672 is about 1434.8073041353. The cubic root of 2058672 is about 127.2122847199.

It can be divided in two parts, 2058 and 672, that multiplied together give a square (1382976 = 11762).

The spelling of 2058672 in words is "two million, fifty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 557 616 924 1114 1232 1671 1848 2228 3342 3696 3899 4456 6127 6684 7798 8912 11697 12254 13368 15596 18381 23394 24508 26736 31192 36762 42889 46788 49016 62384 73524 85778 93576 98032 128667 147048 171556 187152 257334 294096 343112 514668 686224 1029336 2058672