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24970640 = 2452341331
BaseRepresentation
bin101111101000…
…0010110010000
31201222122021112
41133100112100
522343030030
62251112452
7422150462
oct137202620
951878245
1024970640
11131058a2
128442728
135233a36
143460132
1522d3a95
hex17d0590

24970640 has 80 divisors (see below), whose sum is σ = 62246016. Its totient is φ = 9292800.

The previous prime is 24970619. The next prime is 24970651. The reversal of 24970640 is 4607942.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 24970597 and 24970606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75275 + ... + 75605.

Almost surely, 224970640 is an apocalyptic number.

24970640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24970640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31123008).

24970640 is an abundant number, since it is smaller than the sum of its proper divisors (37275376).

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

24970640 is a wasteful number, since it uses less digits than its factorization.

24970640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 24970640 is about 4997.0631374839. The cubic root of 24970640 is about 292.2872634349.

The spelling of 24970640 in words is "twenty-four million, nine hundred seventy thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 41 46 80 82 92 115 164 184 205 230 328 331 368 410 460 656 662 820 920 943 1324 1640 1655 1840 1886 2648 3280 3310 3772 4715 5296 6620 7544 7613 9430 13240 13571 15088 15226 18860 26480 27142 30452 37720 38065 54284 60904 67855 75440 76130 108568 121808 135710 152260 217136 271420 304520 312133 542840 609040 624266 1085680 1248532 1560665 2497064 3121330 4994128 6242660 12485320 24970640