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20138040 = 23325132331
BaseRepresentation
bin100110011010…
…0100000111000
31101220010012100
41030310200320
520123404130
61555343400
7333112326
oct114644070
941803170
1020138040
111040500a
1268b1b60
134231200
142962d16
151b7bc60
hex1334838

20138040 has 144 divisors (see below), whose sum is σ = 71084520. Its totient is φ = 4942080.

The previous prime is 20138033. The next prime is 20138071. The reversal of 20138040 is 4083102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60675 + ... + 61005.

Almost surely, 220138040 is an apocalyptic number.

20138040 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 20138040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35542260).

20138040 is an abundant number, since it is smaller than the sum of its proper divisors (50946480).

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

20138040 is a wasteful number, since it uses less digits than its factorization.

20138040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20138040 is about 4487.5427574565. The cubic root of 20138040 is about 272.0648273970.

The spelling of 20138040 in words is "twenty million, one hundred thirty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 169 180 195 234 260 312 331 338 360 390 468 507 520 585 662 676 780 845 936 993 1014 1170 1324 1352 1521 1560 1655 1690 1986 2028 2340 2535 2648 2979 3042 3310 3380 3972 4056 4303 4680 4965 5070 5958 6084 6620 6760 7605 7944 8606 9930 10140 11916 12168 12909 13240 14895 15210 17212 19860 20280 21515 23832 25818 29790 30420 34424 38727 39720 43030 51636 55939 59580 60840 64545 77454 86060 103272 111878 119160 129090 154908 167817 172120 193635 223756 258180 279695 309816 335634 387270 447512 503451 516360 559390 671268 774540 839085 1006902 1118780 1342536 1549080 1678170 2013804 2237560 2517255 3356340 4027608 5034510 6712680 10069020 20138040