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10051712 = 2711359
BaseRepresentation
bin100110010110…
…000010000000
3200220200100122
4212112002000
510033123322
6555235412
7151303166
oct46260200
920820318
1010051712
115746000
123448b68
13210c278
141499236
15d38442
hex996080

10051712 has 64 divisors (see below), whose sum is σ = 22399200. Its totient is φ = 4491520.

The previous prime is 10051697. The next prime is 10051729. The reversal of 10051712 is 21715001.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170339 + ... + 170397.

Almost surely, 210051712 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 10051712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11199600).

10051712 is an abundant number, since it is smaller than the sum of its proper divisors (12347488).

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

10051712 is an frugal number, since it uses more digits than its factorization.

10051712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 10051712 is about 3170.4435020987. The cubic root of 10051712 is about 215.8141977871.

Adding to 10051712 its reverse (21715001), we get a palindrome (31766713).

The spelling of 10051712 in words is "ten million, fifty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 121 128 176 236 242 352 472 484 649 704 944 968 1298 1331 1408 1888 1936 2596 2662 3776 3872 5192 5324 7139 7552 7744 10384 10648 14278 15488 20768 21296 28556 41536 42592 57112 78529 83072 85184 114224 157058 170368 228448 314116 456896 628232 913792 1256464 2512928 5025856 10051712