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24020040 = 23351131587
BaseRepresentation
bin101101110100…
…0010001001000
31200012100022010
41123220101020
522122120130
62214455520
7411111162
oct133502110
950170263
1024020040
1112616680
1280645a0
134c90155
143293932
1521970b0
hex16e8448

24020040 has 128 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 5625600.

The previous prime is 24020011. The next prime is 24020057. The reversal of 24020040 is 4002042.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 24019998 and 24020025.

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, 40627 + ... + 41213.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 224020040 is an apocalyptic number.

24020040 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 24020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

24020040 is an abundant number, since it is smaller than the sum of its proper divisors (57265080).

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

24020040 is a wasteful number, since it uses less digits than its factorization.

24020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 24020040 is about 4901.0243827184. The cubic root of 24020040 is about 288.5301769519.

Adding to 24020040 its reverse (4002042), we get a palindrome (28022082).

The spelling of 24020040 in words is "twenty-four million, twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 372 440 465 587 620 660 682 744 930 1023 1174 1240 1320 1364 1705 1761 1860 2046 2348 2728 2935 3410 3522 3720 4092 4696 5115 5870 6457 6820 7044 8184 8805 10230 11740 12914 13640 14088 17610 18197 19371 20460 23480 25828 32285 35220 36394 38742 40920 51656 54591 64570 70440 72788 77484 90985 96855 109182 129140 145576 154968 181970 193710 200167 218364 258280 272955 363940 387420 400334 436728 545910 600501 727880 774840 800668 1000835 1091820 1201002 1601336 2001670 2183640 2402004 3002505 4003340 4804008 6005010 8006680 12010020 24020040