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465442140 = 223526872887
BaseRepresentation
bin11011101111100…
…001010101011100
31012102210220120210
4123233201111130
51423123122030
6114104012420
714351123112
oct3357412534
91172726523
10465442140
11219803629
1210ba61110
1375575667
1445b5bab2
152acddbb0
hex1bbe155c

465442140 has 48 divisors (see below), whose sum is σ = 1304174592. Its totient is φ = 124028736.

The previous prime is 465442111. The next prime is 465442147. The reversal of 465442140 is 41244564.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 465442098 and 465442107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465442147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159777 + ... + 162663.

It is an arithmetic number, because the mean of its divisors is an integer number (27170304).

Almost surely, 2465442140 is an apocalyptic number.

It is an amenable number.

465442140 is an abundant number, since it is smaller than the sum of its proper divisors (838732452).

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

465442140 is a wasteful number, since it uses less digits than its factorization.

465442140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 465442140 is about 21574.1080928042. The cubic root of 465442140 is about 774.9765598183.

It can be divided in two parts, 46544 and 2140, that added together give a palindrome (48684).

The spelling of 465442140 in words is "four hundred sixty-five million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2687 2887 5374 5774 8061 8661 10748 11548 13435 14435 16122 17322 26870 28870 32244 34644 40305 43305 53740 57740 80610 86610 161220 173220 7757369 15514738 23272107 31029476 38786845 46544214 77573690 93088428 116360535 155147380 232721070 465442140