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258494130 = 232513920663
BaseRepresentation
bin11110110100001…
…00111010110010
3200000101212021200
433122010322302
51012133303010
641352232030
76256110126
oct1732047262
9600355250
10258494130
11122a05514
127269b616
1341727a0b
142648b586
1517a60cc0
hexf684eb2

258494130 has 48 divisors (see below), whose sum is σ = 676952640. Its totient is φ = 68432544.

The previous prime is 258494111. The next prime is 258494189. The reversal of 258494130 is 31494852.

258494130 is a `hidden beast` number, since 2 + 584 + 9 + 41 + 30 = 666.

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, 2179 + ... + 22841.

It is an arithmetic number, because the mean of its divisors is an integer number (14103180).

Almost surely, 2258494130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258494130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338476320).

258494130 is an abundant number, since it is smaller than the sum of its proper divisors (418458510).

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

258494130 is a wasteful number, since it uses less digits than its factorization.

258494130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20815 (or 20812 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 258494130 is about 16077.7526414608. The cubic root of 258494130 is about 637.0158353815.

The spelling of 258494130 in words is "two hundred fifty-eight million, four hundred ninety-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1251 1390 2085 2502 4170 6255 12510 20663 41326 61989 103315 123978 185967 206630 309945 371934 619890 929835 1859670 2872157 5744314 8616471 14360785 17232942 25849413 28721570 43082355 51698826 86164710 129247065 258494130