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20097440 = 2551119601
BaseRepresentation
bin100110010101…
…0100110100000
31101211001111122
41030222212200
520121104230
61554431412
7332553056
oct114524640
941731448
1020097440
1110387560
126892568
13421889c
1429521d6
151b6ebe5
hex132a9a0

20097440 has 96 divisors (see below), whose sum is σ = 54613440. Its totient is φ = 6912000.

The previous prime is 20097439. The next prime is 20097443. The reversal of 20097440 is 4479002.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20097443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33140 + ... + 33740.

It is an arithmetic number, because the mean of its divisors is an integer number (568890).

Almost surely, 220097440 is an apocalyptic number.

20097440 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 20097440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27306720).

20097440 is an abundant number, since it is smaller than the sum of its proper divisors (34516000).

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

20097440 is a wasteful number, since it uses less digits than its factorization.

20097440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 20097440 is about 4483.0168413692. The cubic root of 20097440 is about 271.8818691179.

It can be divided in two parts, 2009 and 7440, that added together give a palindrome (9449).

The spelling of 20097440 in words is "twenty million, ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 152 160 176 190 209 220 304 352 380 418 440 601 608 760 836 880 1045 1202 1520 1672 1760 2090 2404 3005 3040 3344 4180 4808 6010 6611 6688 8360 9616 11419 12020 13222 16720 19232 22838 24040 26444 33055 33440 45676 48080 52888 57095 66110 91352 96160 105776 114190 125609 132220 182704 211552 228380 251218 264440 365408 456760 502436 528880 628045 913520 1004872 1057760 1256090 1827040 2009744 2512180 4019488 5024360 10048720 20097440