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20731464 = 23341323107
BaseRepresentation
bin100111100010…
…1011001001000
31110000021020000
41033011121020
520301401324
62020203000
7341133405
oct117053110
943007200
1020731464
111077a946
126b39460
1343ab350
142a792ac
151c479c9
hex13c5648

20731464 has 160 divisors (see below), whose sum is σ = 65862720. Its totient is φ = 6044544.

The previous prime is 20731457. The next prime is 20731499. The reversal of 20731464 is 46413702.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 193699 + ... + 193805.

It is an arithmetic number, because the mean of its divisors is an integer number (411642).

Almost surely, 220731464 is an apocalyptic number.

20731464 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 20731464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32931360).

20731464 is an abundant number, since it is smaller than the sum of its proper divisors (45131256).

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

20731464 is a wasteful number, since it uses less digits than its factorization.

20731464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20731464 is about 4553.1817446704. The cubic root of 20731464 is about 274.7113842527.

The spelling of 20731464 in words is "twenty million, seven hundred thirty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 27 36 39 46 52 54 69 72 78 81 92 104 107 108 117 138 156 162 184 207 214 216 234 276 299 312 321 324 351 414 428 468 552 598 621 642 648 702 828 856 897 936 963 1053 1196 1242 1284 1391 1404 1656 1794 1863 1926 2106 2392 2461 2484 2568 2691 2782 2808 2889 3588 3726 3852 4173 4212 4922 4968 5382 5564 5778 7176 7383 7452 7704 8073 8346 8424 8667 9844 10764 11128 11556 12519 14766 14904 16146 16692 17334 19688 21528 22149 23112 24219 25038 29532 31993 32292 33384 34668 37557 44298 48438 50076 59064 63986 64584 66447 69336 75114 88596 95979 96876 100152 112671 127972 132894 150228 177192 191958 193752 199341 225342 255944 265788 287937 300456 383916 398682 450684 531576 575874 767832 797364 863811 901368 1151748 1594728 1727622 2303496 2591433 3455244 5182866 6910488 10365732 20731464