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10006480 = 2451183137
BaseRepresentation
bin100110001010…
…111111010000
3200211101022101
4212022333100
510030201410
6554250144
7151024261
oct46127720
920741271
1010006480
115715020
123426954
1320c47c3
141486968
15d29d3a
hex98afd0

10006480 has 80 divisors (see below), whose sum is σ = 25873344. Its totient is φ = 3568640.

The previous prime is 10006463. The next prime is 10006481. The reversal of 10006480 is 8460001.

10006480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006481) 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, 72972 + ... + 73108.

Almost surely, 210006480 is an apocalyptic number.

10006480 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 10006480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12936672).

10006480 is an abundant number, since it is smaller than the sum of its proper divisors (15866864).

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

10006480 is a wasteful number, since it uses less digits than its factorization.

10006480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10006480 is about 3163.3020722024. The cubic root of 10006480 is about 215.4899947444.

Adding to 10006480 its reverse (8460001), we get a palindrome (18466481).

The spelling of 10006480 in words is "ten million, six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 137 166 176 220 274 332 415 440 548 664 685 830 880 913 1096 1328 1370 1507 1660 1826 2192 2740 3014 3320 3652 4565 5480 6028 6640 7304 7535 9130 10960 11371 12056 14608 15070 18260 22742 24112 30140 36520 45484 56855 60280 73040 90968 113710 120560 125081 181936 227420 250162 454840 500324 625405 909680 1000648 1250810 2001296 2501620 5003240 10006480