Search a number
-
+
1332936 = 233411217
BaseRepresentation
bin101000101011011001000
32111201110000
411011123020
5320123221
644323000
714221053
oct5053310
92451400
101332936
11830500
12543460
13378927
14269a9a
151b4e26
hex1456c8

1332936 has 120 divisors (see below), whose sum is σ = 4345110. Its totient is φ = 380160.

The previous prime is 1332917. The next prime is 1332941. The reversal of 1332936 is 6392331.

1332936 = T13 + T14 + ... + T199.

It can be written as a sum of positive squares in only one way, i.e., 980100 + 352836 = 990^2 + 594^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 78400 + ... + 78416.

21332936 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 1332936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172555).

1332936 is an abundant number, since it is smaller than the sum of its proper divisors (3012174).

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

1332936 is a wasteful number, since it uses less digits than its factorization.

1332936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 33 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 1332936 is about 1154.5284751794. The cubic root of 1332936 is about 110.0533074956.

The spelling of 1332936 in words is "one million, three hundred thirty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 81 88 99 102 108 121 132 136 153 162 187 198 204 216 242 264 297 306 324 363 374 396 408 459 484 561 594 612 648 726 748 792 891 918 968 1089 1122 1188 1224 1377 1452 1496 1683 1782 1836 2057 2178 2244 2376 2754 2904 3267 3366 3564 3672 4114 4356 4488 5049 5508 6171 6534 6732 7128 8228 8712 9801 10098 11016 12342 13068 13464 15147 16456 18513 19602 20196 24684 26136 30294 37026 39204 40392 49368 55539 60588 74052 78408 111078 121176 148104 166617 222156 333234 444312 666468 1332936