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106463004 = 223192112213
BaseRepresentation
bin1100101100001…
…11111100011100
321102022212210020
412112013330130
5204223304004
614321512140
72431630524
oct626077434
9242285706
10106463004
115510625a
122b7a2650
131909747b
14101d4684
15952e8d9
hex6587f1c

106463004 has 48 divisors (see below), whose sum is σ = 262846080. Its totient is φ = 33445440.

The previous prime is 106462997. The next prime is 106463017. The reversal of 106463004 is 400364601.

It is a super-2 number, since 2×1064630042 = 22668742441408032, 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, 47002 + ... + 49214.

It is an arithmetic number, because the mean of its divisors is an integer number (5475960).

Almost surely, 2106463004 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 106463004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131423040).

106463004 is an abundant number, since it is smaller than the sum of its proper divisors (156383076).

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

106463004 is a wasteful number, since it uses less digits than its factorization.

106463004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 106463004 is about 10318.0911025247. The cubic root of 106463004 is about 473.9504123026.

The spelling of 106463004 in words is "one hundred six million, four hundred sixty-three thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 211 228 422 633 844 1266 2213 2532 4009 4426 6639 8018 8852 12027 13278 16036 24054 26556 42047 48108 84094 126141 168188 252282 466943 504564 933886 1400829 1867772 2801658 5603316 8871917 17743834 26615751 35487668 53231502 106463004