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19940040 = 2333537499
BaseRepresentation
bin100110000010…
…0001011001000
31101112001121000
41030010023020
520101040130
61551215000
7331326141
oct114041310
941461530
1019940040
111028a27a
126817460
134192053
142910ac8
151b3d260
hex13042c8

19940040 has 128 divisors (see below), whose sum is σ = 68400000. Its totient is φ = 5163264.

The previous prime is 19940033. The next prime is 19940047. The reversal of 19940040 is 4004991.

It is an interprime number because it is at equal distance from previous prime (19940033) and next prime (19940047).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 19939986 and 19940013.

It is not an unprimeable number, because it can be changed into a prime (19940047) 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, 39711 + ... + 40209.

It is an arithmetic number, because the mean of its divisors is an integer number (534375).

Almost surely, 219940040 is an apocalyptic number.

19940040 is a gapful number since it is divisible by the number (10) 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 19940040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34200000).

19940040 is an abundant number, since it is smaller than the sum of its proper divisors (48459960).

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

19940040 is a wasteful number, since it uses less digits than its factorization.

19940040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 19940040 is about 4465.4271912103. The cubic root of 19940040 is about 271.1702293266.

The spelling of 19940040 in words is "nineteen million, nine hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 90 108 111 120 135 148 180 185 216 222 270 296 333 360 370 444 499 540 555 666 740 888 998 999 1080 1110 1332 1480 1497 1665 1996 1998 2220 2495 2664 2994 3330 3992 3996 4440 4491 4990 4995 5988 6660 7485 7992 8982 9980 9990 11976 13320 13473 14970 17964 18463 19960 19980 22455 26946 29940 35928 36926 39960 44910 53892 55389 59880 67365 73852 89820 92315 107784 110778 134730 147704 166167 179640 184630 221556 269460 276945 332334 369260 443112 498501 538920 553890 664668 738520 830835 997002 1107780 1329336 1661670 1994004 2215560 2492505 3323340 3988008 4985010 6646680 9970020 19940040