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30153942 = 23271341449
BaseRepresentation
bin111001100000…
…1110011010110
32002201222102200
41303001303112
530204411232
62554145330
7514206240
oct163016326
962658380
1030153942
1116026115
12a122246
13632a090
14400d090
1529a977c
hex1cc1cd6

30153942 has 96 divisors (see below), whose sum is σ = 82555200. Its totient is φ = 7741440.

The previous prime is 30153941. The next prime is 30154013. The reversal of 30153942 is 24935103.

It is a super-3 number, since 3×301539423 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30153941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66934 + ... + 67382.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 230153942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30153942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277600).

30153942 is an abundant number, since it is smaller than the sum of its proper divisors (52401258).

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

30153942 is a wasteful number, since it uses less digits than its factorization.

30153942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 30153942 is about 5491.2605110302. The cubic root of 30153942 is about 311.2538258590.

The spelling of 30153942 in words is "thirty million, one hundred fifty-three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 41 42 63 78 82 91 117 123 126 182 234 246 273 287 369 449 533 546 574 738 819 861 898 1066 1347 1599 1638 1722 2583 2694 3143 3198 3731 4041 4797 5166 5837 6286 7462 8082 9429 9594 11193 11674 17511 18409 18858 22386 28287 33579 35022 36818 40859 52533 55227 56574 67158 81718 105066 110454 122577 128863 165681 239317 245154 257726 331362 367731 386589 478634 717951 735462 773178 1159767 1435902 1675219 2153853 2319534 3350438 4307706 5025657 10051314 15076971 30153942