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2088960 = 2133517
BaseRepresentation
bin111111110000000000000
310221010111220
413332000000
51013321320
6112435040
723520156
oct7760000
93833456
102088960
1111a7515
12848a80
13581a93
143c53d6
152b3e40
hex1fe000

2088960 has 112 divisors (see below), whose sum is σ = 7077456. Its totient is φ = 524288.

The previous prime is 2088953. The next prime is 2088971. The reversal of 2088960 is 698802.

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 2088960 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122872 + ... + 122888.

22088960 is an apocalyptic number.

2088960 is a gapful number since it is divisible by the number (20) 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 2088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538728).

2088960 is an abundant number, since it is smaller than the sum of its proper divisors (4988496).

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

2088960 is an equidigital number, since it uses as much as digits as its factorization.

2088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2088960 is about 1445.3234932014. The cubic root of 2088960 is about 127.8331158473.

The spelling of 2088960 in words is "two million, eighty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 512 544 640 680 768 816 960 1020 1024 1088 1280 1360 1536 1632 1920 2040 2048 2176 2560 2720 3072 3264 3840 4080 4096 4352 5120 5440 6144 6528 7680 8160 8192 8704 10240 10880 12288 13056 15360 16320 17408 20480 21760 24576 26112 30720 32640 34816 40960 43520 52224 61440 65280 69632 87040 104448 122880 130560 139264 174080 208896 261120 348160 417792 522240 696320 1044480 2088960