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2154960 = 243254173
BaseRepresentation
bin1000001110000111010000
311001111001100
420032013100
51022424320
6114104400
724213453
oct10160720
94044040
102154960
111242065
1287b100
135a5b32
1440149a
152c8790
hex20e1d0

2154960 has 120 divisors (see below), whose sum is σ = 7515144. Its totient is φ = 552960.

The previous prime is 2154953. The next prime is 2154967. The reversal of 2154960 is 694512.

It is an interprime number because it is at equal distance from previous prime (2154953) and next prime (2154967).

It can be written as a sum of positive squares in 4 ways, for example, as 11664 + 2143296 = 108^2 + 1464^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154967) 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, 29484 + ... + 29556.

22154960 is an apocalyptic number.

2154960 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 2154960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757572).

2154960 is an abundant number, since it is smaller than the sum of its proper divisors (5360184).

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

2154960 is a wasteful number, since it uses less digits than its factorization.

2154960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2154960 is about 1467.9782014730. The cubic root of 2154960 is about 129.1654628169.

It can be divided in two parts, 21549 and 60, that added together give a square (21609 = 1472).

The spelling of 2154960 in words is "two million, one hundred fifty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 73 80 82 90 120 123 144 146 164 180 205 219 240 246 292 328 360 365 369 410 438 492 584 615 656 657 720 730 738 820 876 984 1095 1168 1230 1314 1460 1476 1640 1752 1845 1968 2190 2460 2628 2920 2952 2993 3280 3285 3504 3690 4380 4920 5256 5840 5904 5986 6570 7380 8760 8979 9840 10512 11972 13140 14760 14965 17520 17958 23944 26280 26937 29520 29930 35916 44895 47888 52560 53874 59860 71832 89790 107748 119720 134685 143664 179580 215496 239440 269370 359160 430992 538740 718320 1077480 2154960