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1418480 = 245717149
BaseRepresentation
bin101011010010011110000
32200001210022
411122103300
5330342410
650223012
715025340
oct5322360
92601708
101418480
118897a8
12584a68
133a884b
1428cd20
151d0455
hex15a4f0

1418480 has 80 divisors (see below), whose sum is σ = 4017600. Its totient is φ = 454656.

The previous prime is 1418453. The next prime is 1418491. The reversal of 1418480 is 848141.

It is a Cunningham number, because it is equal to 11912-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9446 + ... + 9594.

It is an arithmetic number, because the mean of its divisors is an integer number (50220).

21418480 is an apocalyptic number.

1418480 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 1418480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008800).

1418480 is an abundant number, since it is smaller than the sum of its proper divisors (2599120).

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

1418480 is a wasteful number, since it uses less digits than its factorization.

1418480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 1418480 is about 1190.9995801846. Note that the first 3 decimals coincide. The cubic root of 1418480 is about 112.3589673048.

The spelling of 1418480 in words is "one million, four hundred eighteen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 149 170 238 272 280 298 340 476 560 595 596 680 745 952 1043 1190 1192 1360 1490 1904 2086 2380 2384 2533 2980 4172 4760 5066 5215 5960 8344 9520 10132 10430 11920 12665 16688 17731 20264 20860 25330 35462 40528 41720 50660 70924 83440 88655 101320 141848 177310 202640 283696 354620 709240 1418480