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2558430 = 2325731131
BaseRepresentation
bin1001110000100111011110
311210222111200
421300213132
51123332210
6130500330
730513660
oct11604736
94728450
102558430
111498206
12a346a6
136b7684
144a8530
153580c0
hex2709de

2558430 has 96 divisors (see below), whose sum is σ = 7907328. Its totient is φ = 561600.

The previous prime is 2558429. The next prime is 2558471. The reversal of 2558430 is 348552.

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2558394 and 2558403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19465 + ... + 19595.

It is an arithmetic number, because the mean of its divisors is an integer number (82368).

22558430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2558430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953664).

2558430 is an abundant number, since it is smaller than the sum of its proper divisors (5348898).

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

2558430 is a wasteful number, since it uses less digits than its factorization.

2558430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2558430 is about 1599.5092997541. The cubic root of 2558430 is about 136.7701047837.

The spelling of 2558430 in words is "two million, five hundred fifty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 131 155 186 210 217 262 279 310 315 393 434 465 558 630 651 655 786 917 930 1085 1179 1302 1310 1395 1834 1953 1965 2170 2358 2751 2790 3255 3906 3930 4061 4585 5502 5895 6510 8122 8253 9170 9765 11790 12183 13755 16506 19530 20305 24366 27510 28427 36549 40610 41265 56854 60915 73098 82530 85281 121830 142135 170562 182745 255843 284270 365490 426405 511686 852810 1279215 2558430