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2663920 = 24576771
BaseRepresentation
bin1010001010010111110000
312000100012201
422022113300
51140221140
6133032544
731433350
oct12122760
95010181
102663920
11155a496
12a85754
137236ac
144d4b60
1537949a
hex28a5f0

2663920 has 80 divisors (see below), whose sum is σ = 7285248. Its totient is φ = 887040.

The previous prime is 2663897. The next prime is 2663953. The reversal of 2663920 is 293662.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37485 + ... + 37555.

22663920 is an apocalyptic number.

2663920 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 2663920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642624).

2663920 is an abundant number, since it is smaller than the sum of its proper divisors (4621328).

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

2663920 is a wasteful number, since it uses less digits than its factorization.

2663920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 2663920 is about 1632.1519537102. The cubic root of 2663920 is about 138.6246277069.

It can be divided in two parts, 266 and 3920, that added together give a triangular number (4186 = T91).

The spelling of 2663920 in words is "two million, six hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 71 80 112 134 140 142 268 280 284 335 355 469 497 536 560 568 670 710 938 994 1072 1136 1340 1420 1876 1988 2345 2485 2680 2840 3752 3976 4690 4757 4970 5360 5680 7504 7952 9380 9514 9940 18760 19028 19880 23785 33299 37520 38056 39760 47570 66598 76112 95140 133196 166495 190280 266392 332990 380560 532784 665980 1331960 2663920