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30432870 = 23251319372
BaseRepresentation
bin111010000010…
…1111001100110
32010021011001100
41310011321212
530242322440
63004140530
7516450366
oct164057146
963234040
1030432870
11161a6736
12a237746
1363c7020
1440829a6
152a12230
hex1d05e66

30432870 has 144 divisors (see below), whose sum is σ = 92186640. Its totient is φ = 6905088.

The previous prime is 30432869. The next prime is 30432893. The reversal of 30432870 is 7823403.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 822492 + ... + 822528.

It is an arithmetic number, because the mean of its divisors is an integer number (640185).

Almost surely, 230432870 is an apocalyptic number.

30432870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30432870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46093320).

30432870 is an abundant number, since it is smaller than the sum of its proper divisors (61753770).

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

30432870 is a wasteful number, since it uses less digits than its factorization.

30432870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 30432870 is about 5516.5994960664. The cubic root of 30432870 is about 312.2105949993.

The spelling of 30432870 in words is "thirty million, four hundred thirty-two thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 37 38 39 45 57 65 74 78 90 95 111 114 117 130 171 185 190 195 222 234 247 285 333 342 370 390 481 494 555 570 585 666 703 741 855 962 1110 1170 1235 1369 1406 1443 1482 1665 1710 2109 2223 2405 2470 2738 2886 3330 3515 3705 4107 4218 4329 4446 4810 6327 6845 7030 7215 7410 8214 8658 9139 10545 11115 12321 12654 13690 14430 17797 18278 20535 21090 21645 22230 24642 26011 27417 31635 35594 41070 43290 45695 52022 53391 54834 61605 63270 78033 82251 88985 91390 106782 123210 130055 137085 156066 160173 164502 177970 234099 260110 266955 274170 320346 338143 390165 411255 468198 533910 676286 780330 800865 822510 1014429 1170495 1601730 1690715 2028858 2340990 3043287 3381430 5072145 6086574 10144290 15216435 30432870