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20076420 = 22357133677
BaseRepresentation
bin100110010010…
…1011110000100
31101202222200010
41030211132010
520114421140
61554150220
7332434560
oct114453604
941688603
1020076420
1110372791
126882370
13420c150
1429486a0
151b68880
hex1325784

20076420 has 96 divisors (see below), whose sum is σ = 69205248. Its totient is φ = 4234752.

The previous prime is 20076403. The next prime is 20076421. The reversal of 20076420 is 2467002.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20076421) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3622 + ... + 7298.

It is an arithmetic number, because the mean of its divisors is an integer number (720888).

Almost surely, 220076420 is an apocalyptic number.

20076420 is a gapful number since it is divisible by the number (20) 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 20076420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34602624).

20076420 is an abundant number, since it is smaller than the sum of its proper divisors (49128828).

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

20076420 is a wasteful number, since it uses less digits than its factorization.

20076420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 20076420 is about 4480.6718246263. The cubic root of 20076420 is about 271.7870485755.

The spelling of 20076420 in words is "twenty million, seventy-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 3677 5460 7354 11031 14708 18385 22062 25739 36770 44124 47801 51478 55155 73540 77217 95602 102956 110310 128695 143403 154434 191204 220620 239005 257390 286806 308868 334607 386085 478010 514780 573612 669214 717015 772170 956020 1003821 1338428 1434030 1544340 1673035 2007642 2868060 3346070 4015284 5019105 6692140 10038210 20076420