Search a number
-
+
55301040 = 2432589863
BaseRepresentation
bin1101001011110…
…1001110110000
310212001120202200
43102331032300
5103124113130
65253143200
71241023344
oct322751660
9125046680
1055301040
1129241543
121662ab00
13b5c3212
1474b7624
154cc5760
hex34bd3b0

55301040 has 120 divisors (see below), whose sum is σ = 188023680. Its totient is φ = 14564352.

The previous prime is 55301021. The next prime is 55301047. The reversal of 55301040 is 4010355.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (55301047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63649 + ... + 64511.

It is an arithmetic number, because the mean of its divisors is an integer number (1566864).

Almost surely, 255301040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94011840).

55301040 is an abundant number, since it is smaller than the sum of its proper divisors (132722640).

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

55301040 is a wasteful number, since it uses less digits than its factorization.

55301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 55301040 is about 7436.4669030394. The cubic root of 55301040 is about 380.9878269201.

Adding to 55301040 its reverse (4010355), we get a palindrome (59311395).

The spelling of 55301040 in words is "fifty-five million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 89 90 120 144 178 180 240 267 356 360 445 534 712 720 801 863 890 1068 1335 1424 1602 1726 1780 2136 2589 2670 3204 3452 3560 4005 4272 4315 5178 5340 6408 6904 7120 7767 8010 8630 10356 10680 12816 12945 13808 15534 16020 17260 20712 21360 25890 31068 32040 34520 38835 41424 51780 62136 64080 69040 76807 77670 103560 124272 153614 155340 207120 230421 307228 310680 384035 460842 614456 621360 691263 768070 921684 1152105 1228912 1382526 1536140 1843368 2304210 2765052 3072280 3456315 3686736 4608420 5530104 6144560 6912630 9216840 11060208 13825260 18433680 27650520 55301040