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1201152 = 21031723
BaseRepresentation
bin100100101010000000000
32021000200010
410211100000
5301414102
641424520
713131621
oct4452000
92230603
101201152
11750497
1249b140
13330954
14233a48
1518ad6c
hex125400

1201152 has 88 divisors (see below), whose sum is σ = 3537216. Its totient is φ = 360448.

The previous prime is 1201141. The next prime is 1201153. The reversal of 1201152 is 2511021.

It is a super-2 number, since 2×12011522 = 2885532254208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52213 + ... + 52235.

21201152 is an apocalyptic number.

1201152 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 1201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768608).

1201152 is an abundant number, since it is smaller than the sum of its proper divisors (2336064).

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

1201152 is a wasteful number, since it uses less digits than its factorization.

1201152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 1201152 is about 1095.9708025308. The cubic root of 1201152 is about 106.2998511167.

Adding to 1201152 its reverse (2511021), we get a palindrome (3712173).

The spelling of 1201152 in words is "one million, two hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 128 136 138 184 192 204 256 272 276 368 384 391 408 512 544 552 736 768 782 816 1024 1088 1104 1173 1472 1536 1564 1632 2176 2208 2346 2944 3072 3128 3264 4352 4416 4692 5888 6256 6528 8704 8832 9384 11776 12512 13056 17408 17664 18768 23552 25024 26112 35328 37536 50048 52224 70656 75072 100096 150144 200192 300288 400384 600576 1201152