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2429420 = 225723767
BaseRepresentation
bin1001010001000111101100
311120102112112
421101013230
51110220140
6124023152
726435600
oct11210754
94512475
102429420
11140a294
12991ab8
13670a36
14473500
1532ec65
hex2511ec

2429420 has 72 divisors (see below), whose sum is σ = 6186096. Its totient is φ = 798336.

The previous prime is 2429411. The next prime is 2429437. The reversal of 2429420 is 249242.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36227 + ... + 36293.

It is an arithmetic number, because the mean of its divisors is an integer number (85918).

22429420 is an apocalyptic number.

2429420 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 2429420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093048).

2429420 is an abundant number, since it is smaller than the sum of its proper divisors (3756676).

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

2429420 is a wasteful number, since it uses less digits than its factorization.

2429420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2429420 is about 1558.6596806231. The cubic root of 2429420 is about 134.4314451886.

The spelling of 2429420 in words is "two million, four hundred twenty-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 67 70 74 98 134 140 148 185 196 245 259 268 335 370 469 490 518 670 740 938 980 1036 1295 1340 1813 1876 2345 2479 2590 3283 3626 4690 4958 5180 6566 7252 9065 9380 9916 12395 13132 16415 17353 18130 24790 32830 34706 36260 49580 65660 69412 86765 121471 173530 242942 347060 485884 607355 1214710 2429420