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20989152 = 2533171429
BaseRepresentation
bin101000000010…
…0010011100000
31110111100201000
41100010103200
520333123102
62025512000
7343255602
oct120042340
943440630
1020989152
1110936508
127042600
13446b722
142b05172
151c9901c
hex14044e0

20989152 has 96 divisors (see below), whose sum is σ = 64864800. Its totient is φ = 6580224.

The previous prime is 20989147. The next prime is 20989153. The reversal of 20989152 is 25198902.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20989153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13974 + ... + 15402.

It is an arithmetic number, because the mean of its divisors is an integer number (675675).

Almost surely, 220989152 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 20989152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32432400).

20989152 is an abundant number, since it is smaller than the sum of its proper divisors (43875648).

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

20989152 is a wasteful number, since it uses less digits than its factorization.

20989152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 20989152 is about 4581.3919282244. The cubic root of 20989152 is about 275.8449034089.

The spelling of 20989152 in words is "twenty million, nine hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1429 1632 1836 2448 2858 3672 4287 4896 5716 7344 8574 11432 12861 14688 17148 22864 24293 25722 34296 38583 45728 48586 51444 68592 72879 77166 97172 102888 137184 145758 154332 194344 205776 218637 291516 308664 388688 411552 437274 583032 617328 655911 777376 874548 1166064 1234656 1311822 1749096 2332128 2623644 3498192 5247288 6996384 10494576 20989152