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2141832 = 2337111961
BaseRepresentation
bin1000001010111010001000
311000211001010
420022322020
51022014312
6113523520
724130260
oct10127210
94024033
102141832
111233210
128735a0
1359cb74
143da7a0
152c493c
hex20ae88

2141832 has 128 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 518400.

The previous prime is 2141827. The next prime is 2141849. The reversal of 2141832 is 2381412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

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

It is a junction number, because it is equal to n+sod(n) for n = 2141799 and 2141808.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35082 + ... + 35142.

It is an arithmetic number, because the mean of its divisors is an integer number (55800).

22141832 is an apocalyptic number.

2141832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 1463×1464.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).

2141832 is an abundant number, since it is smaller than the sum of its proper divisors (5000568).

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

2141832 is a wasteful number, since it uses less digits than its factorization.

2141832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 103 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 2141832 is about 1463.4999145883. The cubic root of 2141832 is about 128.9026367068.

It can be divided in two parts, 214183 and 2, that added together give a triangular number (214185 = T654).

The spelling of 2141832 in words is "two million, one hundred forty-one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 19 21 22 24 28 33 38 42 44 56 57 61 66 76 77 84 88 114 122 132 133 152 154 168 183 209 228 231 244 264 266 308 366 399 418 427 456 462 488 532 616 627 671 732 798 836 854 924 1064 1159 1254 1281 1342 1463 1464 1596 1672 1708 1848 2013 2318 2508 2562 2684 2926 3192 3416 3477 4026 4389 4636 4697 5016 5124 5368 5852 6954 8052 8113 8778 9272 9394 10248 11704 12749 13908 14091 16104 16226 17556 18788 24339 25498 27816 28182 32452 35112 37576 38247 48678 50996 56364 64904 76494 89243 97356 101992 112728 152988 178486 194712 267729 305976 356972 535458 713944 1070916 2141832