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11020152 = 2331113319
BaseRepresentation
bin101010000010…
…011101111000
3202201212210210
4222002131320
510310121102
61032111120
7162445503
oct52023570
922655723
1011020152
116247670
1238354a0
13238b000
14166c13a
15e7a36c
hexa82778

11020152 has 128 divisors (see below), whose sum is σ = 34272000. Its totient is φ = 2920320.

The previous prime is 11020129. The next prime is 11020181. The reversal of 11020152 is 25102011.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579999 + ... + 580017.

It is an arithmetic number, because the mean of its divisors is an integer number (267750).

Almost surely, 211020152 is an apocalyptic number.

11020152 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 11020152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136000).

11020152 is an abundant number, since it is smaller than the sum of its proper divisors (23251848).

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

11020152 is a wasteful number, since it uses less digits than its factorization.

11020152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 48 counting only the distinct ones).

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

The square root of 11020152 is about 3319.6614285195. The cubic root of 11020152 is about 222.5337372568.

Adding to 11020152 its reverse (25102011), we get a palindrome (36122163).

The spelling of 11020152 in words is "eleven million, twenty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 19 22 24 26 33 38 39 44 52 57 66 76 78 88 104 114 132 143 152 156 169 209 228 247 264 286 312 338 418 429 456 494 507 572 627 676 741 836 858 988 1014 1144 1254 1352 1482 1672 1716 1859 1976 2028 2197 2508 2717 2964 3211 3432 3718 4056 4394 5016 5434 5577 5928 6422 6591 7436 8151 8788 9633 10868 11154 12844 13182 14872 16302 17576 19266 21736 22308 24167 25688 26364 32604 35321 38532 41743 44616 48334 52728 65208 70642 72501 77064 83486 96668 105963 125229 141284 145002 166972 193336 211926 250458 282568 290004 333944 423852 459173 500916 580008 847704 918346 1001832 1377519 1836692 2755038 3673384 5510076 11020152