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10212672 = 263431237
BaseRepresentation
bin100110111101…
…010101000000
3201012212011010
4212331111000
510103301142
61002520520
7152543361
oct46752500
921185133
1010212672
115845a28
123506140
132167602
1414dbb68
15d6ae9c
hex9bd540

10212672 has 56 divisors (see below), whose sum is σ = 27671776. Its totient is φ = 3322368.

The previous prime is 10212659. The next prime is 10212691. The reversal of 10212672 is 27621201.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7638 + ... + 8874.

Almost surely, 210212672 is an apocalyptic number.

10212672 is a gapful number since it is divisible by the number (12) 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 10212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13835888).

10212672 is an abundant number, since it is smaller than the sum of its proper divisors (17459104).

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

10212672 is a wasteful number, since it uses less digits than its factorization.

10212672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10212672 is about 3195.7271473015. The cubic root of 10212672 is about 216.9600611724.

Adding to 10212672 its reverse (27621201), we get a palindrome (37833873).

The spelling of 10212672 in words is "ten million, two hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1237 1376 2064 2474 2752 3711 4128 4948 7422 8256 9896 14844 19792 29688 39584 53191 59376 79168 106382 118752 159573 212764 237504 319146 425528 638292 851056 1276584 1702112 2553168 3404224 5106336 10212672