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11027952 = 24321343137
BaseRepresentation
bin101010000100…
…010111110000
3202202021111200
4222010113300
510310343302
61032211200
7162510315
oct52042760
922667450
1011027952
116252511
123839b00
132391720
141670d0c
15e7c81c
hexa845f0

11027952 has 120 divisors (see below), whose sum is σ = 34258224. Its totient is φ = 3290112.

The previous prime is 11027921. The next prime is 11027957. The reversal of 11027952 is 25972011.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11027957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80428 + ... + 80564.

Almost surely, 211027952 is an apocalyptic number.

11027952 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 11027952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17129112).

11027952 is an abundant number, since it is smaller than the sum of its proper divisors (23230272).

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

11027952 is a wasteful number, since it uses less digits than its factorization.

11027952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 11027952 is about 3320.8360393130. The cubic root of 11027952 is about 222.5862275731.

Adding to 11027952 its reverse (25972011), we get a palindrome (36999963).

The spelling of 11027952 in words is "eleven million, twenty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 48 52 72 78 86 104 117 129 137 144 156 172 208 234 258 274 312 344 387 411 468 516 548 559 624 688 774 822 936 1032 1096 1118 1233 1548 1644 1677 1781 1872 2064 2192 2236 2466 3096 3288 3354 3562 4472 4932 5031 5343 5891 6192 6576 6708 7124 8944 9864 10062 10686 11782 13416 14248 16029 17673 19728 20124 21372 23564 26832 28496 32058 35346 40248 42744 47128 53019 64116 70692 76583 80496 85488 94256 106038 128232 141384 153166 212076 229749 256464 282768 306332 424152 459498 612664 689247 848304 918996 1225328 1378494 1837992 2756988 3675984 5513976 11027952