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2129520 = 243519467
BaseRepresentation
bin1000000111111001110000
311000012011010
420013321300
51021121040
6113350520
724046341
oct10077160
94005133
102129520
111224a38
12868440
13597393
143d60c8
152c0e80
hex207e70

2129520 has 80 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 536832.

The previous prime is 2129513. The next prime is 2129521. The reversal of 2129520 is 259212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4327 + ... + 4793.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

22129520 is an apocalyptic number.

2129520 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 2129520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

2129520 is an abundant number, since it is smaller than the sum of its proper divisors (4834320).

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

2129520 is a wasteful number, since it uses less digits than its factorization.

2129520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2129520 is about 1459.2874973767. The cubic root of 2129520 is about 128.6551694321.

The spelling of 2129520 in words is "two million, one hundred twenty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 467 570 760 912 934 1140 1401 1520 1868 2280 2335 2802 3736 4560 4670 5604 7005 7472 8873 9340 11208 14010 17746 18680 22416 26619 28020 35492 37360 44365 53238 56040 70984 88730 106476 112080 133095 141968 177460 212952 266190 354920 425904 532380 709840 1064760 2129520