Search a number
-
+
1207872 = 2634233
BaseRepresentation
bin100100110111001000000
32021100220000
410212321000
5302122442
641520000
713160331
oct4467100
92240800
101207872
11755546
124a3000
13333a23
14236288
1518cd4c
hex126e40

1207872 has 70 divisors (see below), whose sum is σ = 3595878. Its totient is φ = 400896.

The previous prime is 1207841. The next prime is 1207883. The reversal of 1207872 is 2787021.

It can be written as a sum of positive squares in only one way, i.e., 876096 + 331776 = 936^2 + 576^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5068 + ... + 5300.

21207872 is an apocalyptic number.

1207872 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 1207872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797939).

1207872 is an abundant number, since it is smaller than the sum of its proper divisors (2388006).

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

1207872 is an equidigital number, since it uses as much as digits as its factorization.

1207872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1207872 is about 1099.0323016181. The cubic root of 1207872 is about 106.4977186577.

The spelling of 1207872 in words is "one million, two hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 233 288 324 432 466 576 648 699 864 932 1296 1398 1728 1864 2097 2592 2796 3728 4194 5184 5592 6291 7456 8388 11184 12582 14912 16776 18873 22368 25164 33552 37746 44736 50328 67104 75492 100656 134208 150984 201312 301968 402624 603936 1207872