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258994530 = 233567103139
BaseRepresentation
bin11110110111111…
…11000101100010
3200001100021201000
433123333011202
51012300311110
641411052430
76263263044
oct1733770542
9601307630
10258994530
11123217473
12728a1116
1341871702
142657ba94
1517b0e1c0
hexf6ff162

258994530 has 128 divisors (see below), whose sum is σ = 712857600. Its totient is φ = 66889152.

The previous prime is 258994523. The next prime is 258994537. The reversal of 258994530 is 35499852.

258994530 is a `hidden beast` number, since 25 + 8 + 9 + 94 + 530 = 666.

It is an interprime number because it is at equal distance from previous prime (258994523) and next prime (258994537).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (258994537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1863201 + ... + 1863339.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2258994530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258994530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356428800).

258994530 is an abundant number, since it is smaller than the sum of its proper divisors (453863070).

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

258994530 is a wasteful number, since it uses less digits than its factorization.

258994530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 258994530 is about 16093.3069939028. The cubic root of 258994530 is about 637.4266213119.

The spelling of 258994530 in words is "two hundred fifty-eight million, nine hundred ninety-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 90 103 134 135 139 201 206 270 278 309 335 402 417 515 603 618 670 695 834 927 1005 1030 1206 1251 1390 1545 1809 1854 2010 2085 2502 2781 3015 3090 3618 3753 4170 4635 5562 6030 6255 6901 7506 9045 9270 9313 12510 13802 13905 14317 18090 18626 18765 20703 27810 27939 28634 34505 37530 41406 42951 46565 55878 62109 69010 71585 83817 85902 93130 103515 124218 128853 139695 143170 167634 186327 207030 214755 251451 257706 279390 310545 372654 386559 419085 429510 502902 621090 644265 773118 838170 931635 959239 1257255 1288530 1863270 1918478 1932795 2514510 2877717 3865590 4796195 5755434 8633151 9592390 14388585 17266302 25899453 28777170 43165755 51798906 86331510 129497265 258994530