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2141496 = 233272607
BaseRepresentation
bin1000001010110100111000
311000210120200
420022310320
51022011441
6113522200
724126300
oct10126470
94023520
102141496
111232a35
12873360
1359c976
143da600
152c47b6
hex20ad38

2141496 has 72 divisors (see below), whose sum is σ = 6757920. Its totient is φ = 610848.

The previous prime is 2141467. The next prime is 2141497. The reversal of 2141496 is 6941412.

It is a tau number, because it is divible by the number of its divisors (72).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141497) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3225 + ... + 3831.

It is an arithmetic number, because the mean of its divisors is an integer number (93860).

22141496 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 2141496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378960).

2141496 is an abundant number, since it is smaller than the sum of its proper divisors (4616424).

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

2141496 is a wasteful number, since it uses less digits than its factorization.

2141496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 619 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2141496 is about 1463.3851167755. The cubic root of 2141496 is about 128.8958958185.

The spelling of 2141496 in words is "two million, one hundred forty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 607 882 1176 1214 1764 1821 2428 3528 3642 4249 4856 5463 7284 8498 10926 12747 14568 16996 21852 25494 29743 33992 38241 43704 50988 59486 76482 89229 101976 118972 152964 178458 237944 267687 305928 356916 535374 713832 1070748 2141496