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20453440 = 265723397
BaseRepresentation
bin100111000000…
…1100001000000
31102111010211211
41032001201000
520214002230
62010215504
7335565010
oct116014100
942433754
1020453440
11105aaa77
126a24594
134311937
142a05c40
151be042a
hex1381840

20453440 has 112 divisors (see below), whose sum is σ = 58228992. Its totient is φ = 6690816.

The previous prime is 20453437. The next prime is 20453453. The reversal of 20453440 is 4435402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51322 + ... + 51718.

Almost surely, 220453440 is an apocalyptic number.

20453440 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 20453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29114496).

20453440 is an abundant number, since it is smaller than the sum of its proper divisors (37775552).

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

20453440 is a wasteful number, since it uses less digits than its factorization.

20453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 20453440 is about 4522.5479544168. The cubic root of 20453440 is about 273.4778269665.

Adding to 20453440 its reverse (4435402), we get a palindrome (24888842).

The spelling of 20453440 in words is "twenty million, four hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 140 160 161 184 224 230 280 320 322 368 397 448 460 560 644 736 794 805 920 1120 1288 1472 1588 1610 1840 1985 2240 2576 2779 3176 3220 3680 3970 5152 5558 6352 6440 7360 7940 9131 10304 11116 12704 12880 13895 15880 18262 22232 25408 25760 27790 31760 36524 44464 45655 51520 55580 63520 63917 73048 88928 91310 111160 127040 127834 146096 177856 182620 222320 255668 292192 319585 365240 444640 511336 584384 639170 730480 889280 1022672 1278340 1460960 2045344 2556680 2921920 4090688 5113360 10226720 20453440