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2141856 = 25333767
BaseRepresentation
bin1000001010111010100000
311000211002000
420022322200
51022014411
6113524000
724130323
oct10127240
94024060
102141856
111233232
12873600
1359cb92
143da7ba
152c4956
hex20aea0

2141856 has 96 divisors (see below), whose sum is σ = 6511680. Its totient is φ = 684288.

The previous prime is 2141849. The next prime is 2141863. The reversal of 2141856 is 6581412.

It is an interprime number because it is at equal distance from previous prime (2141849) and next prime (2141863).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an alternating number because its digits alternate between even and odd.

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, 31935 + ... + 32001.

It is an arithmetic number, because the mean of its divisors is an integer number (67830).

22141856 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 2141856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255840).

2141856 is an abundant number, since it is smaller than the sum of its proper divisors (4369824).

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

2141856 is a wasteful number, since it uses less digits than its factorization.

2141856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 2141856 is about 1463.5081140875. The cubic root of 2141856 is about 128.9031181718.

The spelling of 2141856 in words is "two million, one hundred forty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 67 72 74 96 108 111 134 144 148 201 216 222 268 288 296 333 402 432 444 536 592 603 666 804 864 888 999 1072 1184 1206 1332 1608 1776 1809 1998 2144 2412 2479 2664 3216 3552 3618 3996 4824 4958 5328 6432 7236 7437 7992 9648 9916 10656 14472 14874 15984 19296 19832 22311 28944 29748 31968 39664 44622 57888 59496 66933 79328 89244 118992 133866 178488 237984 267732 356976 535464 713952 1070928 2141856