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2089152 = 26341331
BaseRepresentation
bin111111110000011000000
310221010210000
413332003000
51013323102
6112440000
723520552
oct7760300
93833700
102089152
1111a767a
12849000
13581bb0
143c54d2
152b401c
hex1fe0c0

2089152 has 140 divisors (see below), whose sum is σ = 6884416. Its totient is φ = 622080.

The previous prime is 2089151. The next prime is 2089169. The reversal of 2089152 is 2519802.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (2089151) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67377 + ... + 67407.

22089152 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 2089152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442208).

2089152 is an abundant number, since it is smaller than the sum of its proper divisors (4795264).

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

2089152 is a wasteful number, since it uses less digits than its factorization.

2089152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2089152 is about 1445.3899127917. The cubic root of 2089152 is about 127.8370321830.

The spelling of 2089152 in words is "two million, eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 48 52 54 62 64 72 78 81 93 96 104 108 117 124 144 156 162 186 192 208 216 234 248 279 288 312 324 351 372 403 416 432 468 496 558 576 624 648 702 744 806 832 837 864 936 992 1053 1116 1209 1248 1296 1404 1488 1612 1674 1728 1872 1984 2106 2232 2418 2496 2511 2592 2808 2976 3224 3348 3627 3744 4212 4464 4836 5022 5184 5616 5952 6448 6696 7254 7488 8424 8928 9672 10044 10881 11232 12896 13392 14508 16848 17856 19344 20088 21762 22464 25792 26784 29016 32643 33696 38688 40176 43524 53568 58032 65286 67392 77376 80352 87048 116064 130572 160704 174096 232128 261144 348192 522288 696384 1044576 2089152