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46230120 = 23325281457
BaseRepresentation
bin1011000001011…
…0101001101000
310012222201210200
42300112221220
543313330440
64330512200
71100643456
oct260265150
9105881720
1046230120
1124106412
1213595660
139768501
1461d59d6
1540d2c30
hex2c16a68

46230120 has 96 divisors (see below), whose sum is σ = 151112520. Its totient is φ = 12257280.

The previous prime is 46230077. The next prime is 46230133. The reversal of 46230120 is 2103264.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44916804 + 1313316 = 6702^2 + 1146^2 .

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 = 46230093 and 46230102.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 100932 + ... + 101388.

Almost surely, 246230120 is an apocalyptic number.

46230120 is a gapful number since it is divisible by the number (40) 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 46230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75556260).

46230120 is an abundant number, since it is smaller than the sum of its proper divisors (104882400).

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

46230120 is a wasteful number, since it uses less digits than its factorization.

46230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 46230120 is about 6799.2734906018. The cubic root of 46230120 is about 358.9012797461.

Adding to 46230120 its reverse (2103264), we get a palindrome (48333384).

The spelling of 46230120 in words is "forty-six million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 281 360 457 562 843 914 1124 1371 1405 1686 1828 2248 2285 2529 2742 2810 3372 3656 4113 4215 4570 5058 5484 5620 6744 6855 8226 8430 9140 10116 10968 11240 12645 13710 16452 16860 18280 20232 20565 25290 27420 32904 33720 41130 50580 54840 82260 101160 128417 164520 256834 385251 513668 642085 770502 1027336 1155753 1284170 1541004 1926255 2311506 2568340 3082008 3852510 4623012 5136680 5778765 7705020 9246024 11557530 15410040 23115060 46230120