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10396100 = 22521113727
BaseRepresentation
bin100111101010…
…000111000100
3201120011202202
4213222013010
510130133400
61010454032
7154236221
oct47520704
921504682
1010396100
115960820
123594318
1321ccc50
141548948
15da54d5
hex9ea1c4

10396100 has 72 divisors (see below), whose sum is σ = 26539968. Its totient is φ = 3484800.

The previous prime is 10396091. The next prime is 10396103. The reversal of 10396100 is 169301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10396103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13937 + ... + 14663.

Almost surely, 210396100 is an apocalyptic number.

10396100 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 10396100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13269984).

10396100 is an abundant number, since it is smaller than the sum of its proper divisors (16143868).

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

10396100 is a wasteful number, since it uses less digits than its factorization.

10396100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 10396100 is about 3224.2983732899. The cubic root of 10396100 is about 218.2512883788.

The spelling of 10396100 in words is "ten million, three hundred ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 727 1100 1300 1430 1454 2860 2908 3575 3635 7150 7270 7997 9451 14300 14540 15994 18175 18902 31988 36350 37804 39985 47255 72700 79970 94510 103961 159940 189020 199925 207922 236275 399850 415844 472550 519805 799700 945100 1039610 2079220 2599025 5198050 10396100