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2148960 = 253511237
BaseRepresentation
bin1000001100101001100000
311001011211010
420030221200
51022231320
6114020520
724160122
oct10145140
94034733
102148960
111238600
12877740
135a3198
143dd212
152c6ae0
hex20ca60

2148960 has 144 divisors (see below), whose sum is σ = 7641648. Its totient is φ = 506880.

The previous prime is 2148947. The next prime is 2148983. The reversal of 2148960 is 698412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 58062 + ... + 58098.

It is an arithmetic number, because the mean of its divisors is an integer number (53067).

22148960 is an apocalyptic number.

2148960 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 2148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820824).

2148960 is an abundant number, since it is smaller than the sum of its proper divisors (5492688).

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

2148960 is a wasteful number, since it uses less digits than its factorization.

2148960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2148960 is about 1465.9331499083. The cubic root of 2148960 is about 129.0454740227.

The spelling of 2148960 in words is "two million, one hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 37 40 44 48 55 60 66 74 80 88 96 110 111 120 121 132 148 160 165 176 185 220 222 240 242 264 296 330 352 363 370 407 440 444 480 484 528 555 592 605 660 726 740 814 880 888 968 1056 1110 1184 1210 1221 1320 1452 1480 1628 1760 1776 1815 1936 2035 2220 2420 2442 2640 2904 2960 3256 3552 3630 3872 4070 4440 4477 4840 4884 5280 5808 5920 6105 6512 7260 8140 8880 8954 9680 9768 11616 12210 13024 13431 14520 16280 17760 17908 19360 19536 22385 24420 26862 29040 32560 35816 39072 44770 48840 53724 58080 65120 67155 71632 89540 97680 107448 134310 143264 179080 195360 214896 268620 358160 429792 537240 716320 1074480 2148960