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2051712 = 273213137
BaseRepresentation
bin111110100111010000000
310212020102100
413310322000
51011123322
6111550400
723303445
oct7647200
93766370
102051712
111181533
1282b400
1356ab40
143b59cc
152a7dac
hex1f4e80

2051712 has 96 divisors (see below), whose sum is σ = 6404580. Its totient is φ = 626688.

The previous prime is 2051701. The next prime is 2051719. The reversal of 2051712 is 2171502.

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 46656 = 1416^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2051719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14908 + ... + 15044.

22051712 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 2051712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202290).

2051712 is an abundant number, since it is smaller than the sum of its proper divisors (4352868).

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

2051712 is a wasteful number, since it uses less digits than its factorization.

2051712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 2051712 is about 1432.3798378922. The cubic root of 2051712 is about 127.0687622339.

The spelling of 2051712 in words is "two million, fifty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 137 144 156 192 208 234 274 288 312 384 411 416 468 548 576 624 822 832 936 1096 1152 1233 1248 1644 1664 1781 1872 2192 2466 2496 3288 3562 3744 4384 4932 4992 5343 6576 7124 7488 8768 9864 10686 13152 14248 14976 16029 17536 19728 21372 26304 28496 32058 39456 42744 52608 56992 64116 78912 85488 113984 128232 157824 170976 227968 256464 341952 512928 683904 1025856 2051712