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18953440 = 25511389
BaseRepresentation
bin100100001001…
…1010011100000
31022122221020021
41020103103200
514323002230
61514123224
7320046562
oct110232340
938587207
1018953440
11a776000
126420514
133c07c6c
142735332
1519e5c7a
hex12134e0

18953440 has 96 divisors (see below), whose sum is σ = 49805280. Its totient is φ = 6814720.

The previous prime is 18953437. The next prime is 18953447. The reversal of 18953440 is 4435981.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 18953396 and 18953405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18953447) 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, 212916 + ... + 213004.

It is an arithmetic number, because the mean of its divisors is an integer number (518805).

Almost surely, 218953440 is an apocalyptic number.

18953440 is a gapful number since it is divisible by the number (10) 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 18953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24902640).

18953440 is an abundant number, since it is smaller than the sum of its proper divisors (30851840).

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

18953440 is an equidigital number, since it uses as much as digits as its factorization.

18953440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 18953440 is about 4353.5548692993. The cubic root of 18953440 is about 266.6220203033.

It can be divided in two parts, 1895 and 3440, that added together give a palindrome (5335).

The spelling of 18953440 in words is "eighteen million, nine hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 89 110 121 160 176 178 220 242 352 356 440 445 484 605 712 880 890 968 979 1210 1331 1424 1760 1780 1936 1958 2420 2662 2848 3560 3872 3916 4840 4895 5324 6655 7120 7832 9680 9790 10648 10769 13310 14240 15664 19360 19580 21296 21538 26620 31328 39160 42592 43076 53240 53845 78320 86152 106480 107690 118459 156640 172304 212960 215380 236918 344608 430760 473836 592295 861520 947672 1184590 1723040 1895344 2369180 3790688 4738360 9476720 18953440