Search a number
-
+
46141020 = 22325318269
BaseRepresentation
bin1011000000000…
…0111001011100
310012211012120200
42300000321130
543303003040
64324543500
71100122632
oct260007134
9105735520
1046141020
1124055482
1213551b90
139736aa3
1461b1352
1540b6630
hex2c00e5c

46141020 has 72 divisors (see below), whose sum is σ = 144493440. Its totient is φ = 11905920.

The previous prime is 46141019. The next prime is 46141027. The reversal of 46141020 is 2014164.

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

It is a junction number, because it is equal to n+sod(n) for n = 46140984 and 46141002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46141027) 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, 1446 + ... + 9714.

Almost surely, 246141020 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 46141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72246720).

46141020 is an abundant number, since it is smaller than the sum of its proper divisors (98352420).

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

46141020 is a wasteful number, since it uses less digits than its factorization.

46141020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8315 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 46141020 is about 6792.7181599121. The cubic root of 46141020 is about 358.6705595287.

Adding to 46141020 its reverse (2014164), we get a palindrome (48155184).

The spelling of 46141020 in words is "forty-six million, one hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 8269 16538 24807 33076 41345 49614 74421 82690 99228 124035 148842 165380 248070 256339 297684 372105 496140 512678 744210 769017 1025356 1281695 1488420 1538034 2307051 2563390 3076068 3845085 4614102 5126780 7690170 9228204 11535255 15380340 23070510 46141020