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455430136 = 237174011193
BaseRepresentation
bin11011001001010…
…100111111111000
31011201222020200211
4123021110333320
51413042231021
6113105240504
714200043440
oct3311247770
91151866624
10455430136
11214095447
12108633134
137347b4b5
14446b3120
1529eb23e1
hex1b254ff8

455430136 has 64 divisors (see below), whose sum is σ = 1036774080. Its totient is φ = 183091200.

The previous prime is 455430121. The next prime is 455430163. The reversal of 455430136 is 631034554.

It is a junction number, because it is equal to n+sod(n) for n = 455430098 and 455430107.

It is a congruent number.

It is an unprimeable number.

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, 381156 + ... + 382348.

It is an arithmetic number, because the mean of its divisors is an integer number (16199595).

Almost surely, 2455430136 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 455430136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518387040).

455430136 is an abundant number, since it is smaller than the sum of its proper divisors (581343944).

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

455430136 is a wasteful number, since it uses less digits than its factorization.

455430136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 455430136 is about 21340.8091692888. The cubic root of 455430136 is about 769.3794606901.

The spelling of 455430136 in words is "four hundred fifty-five million, four hundred thirty thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 401 476 802 952 1193 1604 2386 2807 3208 4772 5614 6817 8351 9544 11228 13634 16702 20281 22456 27268 33404 40562 47719 54536 66808 81124 95438 141967 162248 190876 283934 381752 478393 567868 956786 1135736 1913572 3348751 3827144 6697502 8132681 13395004 16265362 26790008 32530724 56928767 65061448 113857534 227715068 455430136