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8132480 = 27597131
BaseRepresentation
bin11111000001011110000000
3120022011122222
4133001132000
54040214410
6450150212
7126060566
oct37013600
916264588
108132480
114655064
122882368
1318b9825
141119a36
15aa9955
hex7c1780

8132480 has 64 divisors (see below), whose sum is σ = 19792080. Its totient is φ = 3194880.

The previous prime is 8132471. The next prime is 8132483. The reversal of 8132480 is 842318.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×81324802 = 132274461900800, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8132483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62015 + ... + 62145.

Almost surely, 28132480 is an apocalyptic number.

8132480 is a gapful number since it is divisible by the number (80) 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 8132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9896040).

8132480 is an abundant number, since it is smaller than the sum of its proper divisors (11659600).

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

8132480 is a wasteful number, since it uses less digits than its factorization.

8132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 8132480 is about 2851.7503397037. The cubic root of 8132480 is about 201.0979613740.

Adding to 8132480 its reverse (842318), we get a palindrome (8974798).

The spelling of 8132480 in words is "eight million, one hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 131 160 194 262 320 388 485 524 640 655 776 970 1048 1310 1552 1940 2096 2620 3104 3880 4192 5240 6208 7760 8384 10480 12416 12707 15520 16768 20960 25414 31040 41920 50828 62080 63535 83840 101656 127070 203312 254140 406624 508280 813248 1016560 1626496 2033120 4066240 8132480