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24428040 = 23357132237
BaseRepresentation
bin101110100101…
…1111000001000
31200222001222020
41131023320020
522223144130
62231324440
7414430530
oct135137010
950861866
1024428040
111287516a
128220720
1350a3a80
14335c4c0
152227e10
hex174be08

24428040 has 128 divisors (see below), whose sum is σ = 90236160. Its totient is φ = 5151744.

The previous prime is 24428039. The next prime is 24428051. The reversal of 24428040 is 4082442.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 24428040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9802 + ... + 12038.

It is an arithmetic number, because the mean of its divisors is an integer number (704970).

Almost surely, 224428040 is an apocalyptic number.

24428040 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 24428040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45118080).

24428040 is an abundant number, since it is smaller than the sum of its proper divisors (65808120).

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

24428040 is a wasteful number, since it uses less digits than its factorization.

24428040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 24428040 is about 4942.4730651770. The cubic root of 24428040 is about 290.1546539349.

The spelling of 24428040 in words is "twenty-four million, four hundred twenty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2237 2730 3640 4474 5460 6711 8948 10920 11185 13422 15659 17896 22370 26844 29081 31318 33555 44740 46977 53688 58162 62636 67110 78295 87243 89480 93954 116324 125272 134220 145405 156590 174486 187908 203567 232648 234885 268440 290810 313180 348972 375816 407134 436215 469770 581620 610701 626360 697944 814268 872430 939540 1017835 1163240 1221402 1628536 1744860 1879080 2035670 2442804 3053505 3489720 4071340 4885608 6107010 8142680 12214020 24428040