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40387920 = 24351719521
BaseRepresentation
bin1001101000010…
…0010101010000
32210222220210220
42122010111100
540314403140
64001353040
71000202016
oct232042520
983886726
1040387920
1120886051
1211638780
1384a12a1
1455148b6
15382bbd0
hex2684550

40387920 has 160 divisors (see below), whose sum is σ = 139812480. Its totient is φ = 9584640.

The previous prime is 40387891. The next prime is 40387927. The reversal of 40387920 is 2978304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40387927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77260 + ... + 77780.

It is an arithmetic number, because the mean of its divisors is an integer number (873828).

Almost surely, 240387920 is an apocalyptic number.

40387920 is a gapful number since it is divisible by the number (40) 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 40387920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69906240).

40387920 is an abundant number, since it is smaller than the sum of its proper divisors (99424560).

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

40387920 is a wasteful number, since it uses less digits than its factorization.

40387920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 40387920 is about 6355.1490934517. The cubic root of 40387920 is about 343.0971910203.

The spelling of 40387920 in words is "forty million, three hundred eighty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 30 34 38 40 48 51 57 60 68 76 80 85 95 102 114 120 136 152 170 190 204 228 240 255 272 285 304 323 340 380 408 456 510 521 570 646 680 760 816 912 969 1020 1042 1140 1292 1360 1520 1563 1615 1938 2040 2084 2280 2584 2605 3126 3230 3876 4080 4168 4560 4845 5168 5210 6252 6460 7752 7815 8336 8857 9690 9899 10420 12504 12920 15504 15630 17714 19380 19798 20840 25008 25840 26571 29697 31260 35428 38760 39596 41680 44285 49495 53142 59394 62520 70856 77520 79192 88570 98990 106284 118788 125040 132855 141712 148485 158384 168283 177140 197980 212568 237576 265710 296970 336566 354280 395960 425136 475152 504849 531420 593940 673132 708560 791920 841415 1009698 1062840 1187880 1346264 1682830 2019396 2125680 2375760 2524245 2692528 3365660 4038792 5048490 6731320 8077584 10096980 13462640 20193960 40387920