Search a number
-
+
1661352 = 2337112931
BaseRepresentation
bin110010101100110101000
310010101221120
412111212220
5411130402
655335240
720056410
oct6254650
93111846
101661352
11a35220
12681520
13462264
14313640
1522c3bc
hex1959a8

1661352 has 128 divisors (see below), whose sum is σ = 5529600. Its totient is φ = 403200.

The previous prime is 1661347. The next prime is 1661353. The reversal of 1661352 is 2531661.

1661352 = T63 + T64 + ... + T216.

1661352 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1661353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53577 + ... + 53607.

It is an arithmetic number, because the mean of its divisors is an integer number (43200).

21661352 is an apocalyptic number.

1661352 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 1661352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764800).

1661352 is an abundant number, since it is smaller than the sum of its proper divisors (3868248).

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

1661352 is a wasteful number, since it uses less digits than its factorization.

1661352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 83 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 1661352 is about 1288.9344436394. The cubic root of 1661352 is about 118.4369512741.

The spelling of 1661352 in words is "one million, six hundred sixty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 29 31 33 42 44 56 58 62 66 77 84 87 88 93 116 124 132 154 168 174 186 203 217 231 232 248 264 308 319 341 348 372 406 434 462 609 616 638 651 682 696 744 812 868 899 924 957 1023 1218 1276 1302 1364 1624 1736 1798 1848 1914 2046 2233 2387 2436 2552 2604 2697 2728 3596 3828 4092 4466 4774 4872 5208 5394 6293 6699 7161 7192 7656 8184 8932 9548 9889 10788 12586 13398 14322 17864 18879 19096 19778 21576 25172 26796 28644 29667 37758 39556 50344 53592 57288 59334 69223 75516 79112 118668 138446 151032 207669 237336 276892 415338 553784 830676 1661352