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25146030 = 23571361151
BaseRepresentation
bin101111111101…
…1001010101110
31202022112212110
41133323022232
522414133110
62254544450
7423511020
oct137731256
952275773
1025146030
1113215648
128508126
135295810
1434a8010
15231aa20
hex17fb2ae

25146030 has 128 divisors (see below), whose sum is σ = 75995136. Its totient is φ = 5184000.

The previous prime is 25146019. The next prime is 25146031. The reversal of 25146030 is 3064152.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 25145988 and 25146006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25146031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166455 + ... + 166605.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 225146030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25146030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37997568).

25146030 is an abundant number, since it is smaller than the sum of its proper divisors (50849106).

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

25146030 is a wasteful number, since it uses less digits than its factorization.

25146030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 25146030 is about 5014.5817372937. The cubic root of 25146030 is about 292.9699946365.

The spelling of 25146030 in words is "twenty-five million, one hundred forty-six thousand, thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 61 65 70 78 91 105 122 130 151 182 183 195 210 273 302 305 366 390 427 453 455 546 610 755 793 854 906 910 915 1057 1281 1365 1510 1586 1830 1963 2114 2135 2265 2379 2562 2730 3171 3926 3965 4270 4530 4758 5285 5551 5889 6342 6405 7930 9211 9815 10570 11102 11778 11895 12810 13741 15855 16653 18422 19630 23790 27482 27633 27755 29445 31710 33306 41223 46055 55266 55510 58890 64477 68705 82446 83265 92110 119743 128954 137410 138165 166530 193431 206115 239486 276330 322385 359229 386862 412230 598715 644770 718458 838201 967155 1197430 1676402 1796145 1934310 2514603 3592290 4191005 5029206 8382010 12573015 25146030