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106648276 = 22717449499
BaseRepresentation
bin1100101101101…
…01001011010100
321102200021221011
412112311023110
5204300221101
614325502004
72433331630
oct626651324
9242607834
10106648276
1155222479
122b871904
13191308b7
1410241dc0
159569751
hex65b52d4

106648276 has 48 divisors (see below), whose sum is σ = 226800000. Its totient is φ = 42835968.

The previous prime is 106648261. The next prime is 106648303. The reversal of 106648276 is 672846601.

It is a super-2 number, since 2×1066482762 = 22747709547544352, which contains 22 as substring.

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, 213475 + ... + 213973.

It is an arithmetic number, because the mean of its divisors is an integer number (4725000).

Almost surely, 2106648276 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 106648276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400000).

106648276 is an abundant number, since it is smaller than the sum of its proper divisors (120151724).

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

106648276 is a wasteful number, since it uses less digits than its factorization.

106648276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 106648276 is about 10327.0652171854. The cubic root of 106648276 is about 474.2251833491.

The spelling of 106648276 in words is "one hundred six million, six hundred forty-eight thousand, two hundred seventy-six".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 449 476 499 898 998 1796 1996 3143 3493 6286 6986 7633 8483 12572 13972 15266 16966 30532 33932 53431 59381 106862 118762 213724 224051 237524 448102 896204 1568357 3136714 3808867 6273428 7617734 15235468 26662069 53324138 106648276