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2429620 = 225295971
BaseRepresentation
bin1001010001001010110100
311120102210221
421101022310
51110221440
6124024124
726436304
oct11211264
94512727
102429620
11140a456
12992044
13670b5b
14473604
1532ed4a
hex2512b4

2429620 has 48 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 909440.

The previous prime is 2429617. The next prime is 2429627. The reversal of 2429620 is 269242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429627) 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, 34185 + ... + 34255.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

22429620 is an apocalyptic number.

2429620 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 2429620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2429620 is an abundant number, since it is smaller than the sum of its proper divisors (3013580).

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

2429620 is a wasteful number, since it uses less digits than its factorization.

2429620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2429620 is about 1558.7238369897. The cubic root of 2429620 is about 134.4351340733.

It can be divided in two parts, 2429 and 620, that multiplied together give a triangular number (1505980 = T1735).

The spelling of 2429620 in words is "two million, four hundred twenty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 59 71 116 118 142 145 236 284 290 295 355 580 590 710 1180 1420 1711 2059 3422 4118 4189 6844 8236 8378 8555 10295 16756 17110 20590 20945 34220 41180 41890 83780 121481 242962 485924 607405 1214810 2429620