Search a number
-
+
246541620 = 223513794001
BaseRepresentation
bin11101011000111…
…10110100110100
3122011220121112010
432230132310310
51001103312440
640244124220
76052366143
oct1654366464
9564817463
10246541620
11117191406
126a696670
133c101520
1424a5975a
151699e580
hexeb1ed34

246541620 has 96 divisors (see below), whose sum is σ = 753016320. Its totient is φ = 59904000.

The previous prime is 246541613. The next prime is 246541621. The reversal of 246541620 is 26145642.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (246541621) 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, 59620 + ... + 63620.

It is an arithmetic number, because the mean of its divisors is an integer number (7843920).

Almost surely, 2246541620 is an apocalyptic number.

246541620 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 246541620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376508160).

246541620 is an abundant number, since it is smaller than the sum of its proper divisors (506474700).

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

246541620 is a wasteful number, since it uses less digits than its factorization.

246541620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 246541620 is about 15701.6438629845. The cubic root of 246541620 is about 627.0421690718.

The spelling of 246541620 in words is "two hundred forty-six million, five hundred forty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 79 130 156 158 195 237 260 316 390 395 474 780 790 948 1027 1185 1580 2054 2370 3081 4001 4108 4740 5135 6162 8002 10270 12003 12324 15405 16004 20005 20540 24006 30810 40010 48012 52013 60015 61620 80020 104026 120030 156039 208052 240060 260065 312078 316079 520130 624156 632158 780195 948237 1040260 1264316 1560390 1580395 1896474 3120780 3160790 3792948 4109027 4741185 6321580 8218054 9482370 12327081 16436108 18964740 20545135 24654162 41090270 49308324 61635405 82180540 123270810 246541620