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10480008 = 23371153107
BaseRepresentation
bin100111111110…
…100110001000
3201201102212110
4213332212020
510140330013
61012342320
7155035650
oct47764610
921642773
1010480008
115a08870
1236149a0
13222c1b6
14156b360
15dc02c3
hex9fe988

10480008 has 128 divisors (see below), whose sum is σ = 33592320. Its totient is φ = 2645760.

The previous prime is 10479967. The next prime is 10480009. The reversal of 10480008 is 80008401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10480009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97891 + ... + 97997.

It is an arithmetic number, because the mean of its divisors is an integer number (262440).

Almost surely, 210480008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10480008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16796160).

10480008 is an abundant number, since it is smaller than the sum of its proper divisors (23112312).

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

10480008 is a wasteful number, since it uses less digits than its factorization.

10480008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10480008 is about 3237.2840468516. The cubic root of 10480008 is about 218.8368919564.

Adding to 10480008 its reverse (80008401), we get a palindrome (90488409).

The spelling of 10480008 in words is "ten million, four hundred eighty thousand, eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 53 56 66 77 84 88 106 107 132 154 159 168 212 214 231 264 308 318 321 371 424 428 462 583 616 636 642 742 749 856 924 1113 1166 1177 1272 1284 1484 1498 1749 1848 2226 2247 2332 2354 2568 2968 2996 3498 3531 4081 4452 4494 4664 4708 5671 5992 6996 7062 8162 8239 8904 8988 9416 11342 12243 13992 14124 16324 16478 17013 17976 22684 24486 24717 28248 32648 32956 34026 39697 45368 48972 49434 62381 65912 68052 79394 97944 98868 119091 124762 136104 158788 187143 197736 238182 249524 317576 374286 436667 476364 499048 748572 873334 952728 1310001 1497144 1746668 2620002 3493336 5240004 10480008