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20358140 = 22511374161
BaseRepresentation
bin100110110101…
…0001111111100
31102022022010012
41031222033330
520202430030
62004202352
7335020115
oct115521774
942268105
1020358140
1110545410
1269993b8
1342aa44a
1429bd20c
151bc2095
hex136a3fc

20358140 has 96 divisors (see below), whose sum is σ = 49871808. Its totient is φ = 6912000.

The previous prime is 20358137. The next prime is 20358161. The reversal of 20358140 is 4185302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333710 + ... + 333770.

It is an arithmetic number, because the mean of its divisors is an integer number (519498).

Almost surely, 220358140 is an apocalyptic number.

20358140 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 20358140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935904).

20358140 is an abundant number, since it is smaller than the sum of its proper divisors (29513668).

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

20358140 is a wasteful number, since it uses less digits than its factorization.

20358140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 20358140 is about 4511.9995567376. Note that the first 3 decimals coincide. The cubic root of 20358140 is about 273.0524214254.

It can be divided in two parts, 2035 and 8140, that multiplied together give a square (16564900 = 40702).

The spelling of 20358140 in words is "twenty million, three hundred fifty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 41 44 55 61 74 82 110 122 148 164 185 205 220 244 305 370 407 410 451 610 671 740 814 820 902 1220 1342 1517 1628 1804 2035 2255 2257 2501 2684 3034 3355 4070 4510 4514 5002 6068 6710 7585 8140 9020 9028 10004 11285 12505 13420 15170 16687 22570 24827 25010 27511 30340 33374 45140 49654 50020 55022 66748 83435 92537 99308 110044 124135 137555 166870 185074 248270 275110 333740 370148 462685 496540 550220 925370 1017907 1850740 2035814 4071628 5089535 10179070 20358140