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20037072 = 24311137277
BaseRepresentation
bin100110001101…
…1110111010000
31101200222200210
41030123313100
520112141242
61553244120
7332212056
oct114336720
941628623
1020037072
1110346170
126863640
1341c7273
1429381d6
151b5bd9c
hex131bdd0

20037072 has 80 divisors (see below), whose sum is σ = 57085632. Its totient is φ = 6005760.

The previous prime is 20037053. The next prime is 20037089. The reversal of 20037072 is 27073002.

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, 72198 + ... + 72474.

Almost surely, 220037072 is an apocalyptic number.

20037072 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 20037072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28542816).

20037072 is an abundant number, since it is smaller than the sum of its proper divisors (37048560).

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

20037072 is a wasteful number, since it uses less digits than its factorization.

20037072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 20037072 is about 4476.2788116917. The cubic root of 20037072 is about 271.6093729571.

The spelling of 20037072 in words is "twenty million, thirty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 137 176 264 274 277 411 528 548 554 822 831 1096 1108 1507 1644 1662 2192 2216 3014 3047 3288 3324 4432 4521 6028 6094 6576 6648 9042 9141 12056 12188 13296 18084 18282 24112 24376 36168 36564 37949 48752 72336 73128 75898 113847 146256 151796 227694 303592 417439 455388 607184 834878 910776 1252317 1669756 1821552 2504634 3339512 5009268 6679024 10018536 20037072