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5458068 = 22327112179
BaseRepresentation
bin10100110100100010010100
3101021022001200
4110310202110
52344124233
6312552500
764251510
oct24644224
911238050
105458068
113098800
1219b2730
131191435
14a21140
1572c313
hex534894

5458068 has 108 divisors (see below), whose sum is σ = 17428320. Its totient is φ = 1409760.

The previous prime is 5458067. The next prime is 5458069. The reversal of 5458068 is 8608545.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5458067) and next prime (5458069).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5458067) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30403 + ... + 30581.

Almost surely, 25458068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5458068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8714160).

5458068 is an abundant number, since it is smaller than the sum of its proper divisors (11970252).

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

5458068 is a wasteful number, since it uses less digits than its factorization.

5458068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5458068 is about 2336.2508426965. The cubic root of 5458068 is about 176.0676823022.

The spelling of 5458068 in words is "five million, four hundred fifty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 121 126 132 154 179 198 231 242 252 308 358 363 396 462 484 537 693 716 726 847 924 1074 1089 1253 1386 1452 1611 1694 1969 2148 2178 2506 2541 2772 3222 3388 3759 3938 4356 5012 5082 5907 6444 7518 7623 7876 10164 11277 11814 13783 15036 15246 17721 21659 22554 23628 27566 30492 35442 41349 43318 45108 55132 64977 70884 82698 86636 124047 129954 151613 165396 194931 248094 259908 303226 389862 454839 496188 606452 779724 909678 1364517 1819356 2729034 5458068