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2107072 = 26114173
BaseRepresentation
bin1000000010011011000000
310222001100201
420002123000
51014411242
6113054544
723624032
oct10023300
93861321
102107072
11120a090
12857454
1358a0b6
143cbc52
152b94b7
hex2026c0

2107072 has 56 divisors (see below), whose sum is σ = 4736592. Its totient is φ = 921600.

The previous prime is 2107069. The next prime is 2107073. The reversal of 2107072 is 2707012.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2107073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28828 + ... + 28900.

It is an arithmetic number, because the mean of its divisors is an integer number (84582).

22107072 is an apocalyptic number.

2107072 is a gapful number since it is divisible by the number (22) 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 2107072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368296).

2107072 is an abundant number, since it is smaller than the sum of its proper divisors (2629520).

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

2107072 is a wasteful number, since it uses less digits than its factorization.

2107072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 2107072 is about 1451.5756955805. The cubic root of 2107072 is about 128.2015055277.

The spelling of 2107072 in words is "two million, one hundred seven thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 73 82 88 146 164 176 292 328 352 451 584 656 704 803 902 1168 1312 1606 1804 2336 2624 2993 3212 3608 4672 5986 6424 7216 11972 12848 14432 23944 25696 28864 32923 47888 51392 65846 95776 131692 191552 263384 526768 1053536 2107072