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2129940 = 2232511833
BaseRepresentation
bin1000001000000000010100
311000012201200
420020000110
51021124230
6113352500
724050511
oct10100024
94005650
102129940
11122528a
12868730
13597627
143d6308
152c1160
hex208014

2129940 has 36 divisors (see below), whose sum is σ = 6461364. Its totient is φ = 567936.

The previous prime is 2129903. The next prime is 2129951. The reversal of 2129940 is 499212.

It can be written as a sum of positive squares in 2 ways, for example, as 1483524 + 646416 = 1218^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5737 + ... + 6096.

22129940 is an apocalyptic number.

2129940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2129940 is an abundant number, since it is smaller than the sum of its proper divisors (4331424).

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

2129940 is a wasteful number, since it uses less digits than its factorization.

2129940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11848 (or 11843 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2129940 is about 1459.4313961266. The cubic root of 2129940 is about 128.6636269905.

The spelling of 2129940 in words is "two million, one hundred twenty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11833 23666 35499 47332 59165 70998 106497 118330 141996 177495 212994 236660 354990 425988 532485 709980 1064970 2129940