Search a number
-
+
20151040 = 285713173
BaseRepresentation
bin100110011011…
…1101100000000
31101220210000211
41030313230000
520124313130
61555523504
7333165250
oct114675400
941823024
1020151040
1110413858
1268b9594
1342370c0
142967960
151b80a2a
hex1337b00

20151040 has 144 divisors (see below), whose sum is σ = 59750208. Its totient is φ = 6340608.

The previous prime is 20151031. The next prime is 20151041. The reversal of 20151040 is 4015102.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 20151040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20151041) by changing a digit.

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, 116394 + ... + 116566.

It is an arithmetic number, because the mean of its divisors is an integer number (414932).

Almost surely, 220151040 is an apocalyptic number.

20151040 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 20151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29875104).

20151040 is an abundant number, since it is smaller than the sum of its proper divisors (39599168).

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

20151040 is a wasteful number, since it uses less digits than its factorization.

20151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 20151040 is about 4488.9909779370. The cubic root of 20151040 is about 272.1233581174.

Adding to 20151040 its reverse (4015102), we get a palindrome (24166142).

The spelling of 20151040 in words is "twenty million, one hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 173 182 208 224 256 260 280 320 346 364 416 448 455 520 560 640 692 728 832 865 896 910 1040 1120 1211 1280 1384 1456 1664 1730 1792 1820 2080 2240 2249 2422 2768 2912 3328 3460 3640 4160 4480 4498 4844 5536 5824 6055 6920 7280 8320 8960 8996 9688 11072 11245 11648 12110 13840 14560 15743 16640 17992 19376 22144 22490 23296 24220 27680 29120 31486 35984 38752 44288 44980 48440 55360 58240 62972 71968 77504 78715 89960 96880 110720 116480 125944 143936 155008 157430 179920 193760 221440 251888 287872 310016 314860 359840 387520 503776 575744 629720 719680 775040 1007552 1259440 1439360 1550080 2015104 2518880 2878720 4030208 5037760 10075520 20151040