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455136920 = 23571795617
BaseRepresentation
bin11011001000001…
…101011010011000
31011201102100110222
4123020031122120
51413003340140
6113055055212
714164412540
oct3310153230
91151370428
10455136920
11213a05117
12108511508
13733a7bb4
1444638320
1529e555b5
hex1b20d698

455136920 has 64 divisors (see below), whose sum is σ = 1239209280. Its totient is φ = 146866176.

The previous prime is 455136919. The next prime is 455136943. The reversal of 455136920 is 29631554.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43049 + ... + 52568.

It is an arithmetic number, because the mean of its divisors is an integer number (19362645).

Almost surely, 2455136920 is an apocalyptic number.

455136920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455136920 is an abundant number, since it is smaller than the sum of its proper divisors (784072360).

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

455136920 is a wasteful number, since it uses less digits than its factorization.

455136920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95652 (or 95648 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 455136920 is about 21333.9382205912. The cubic root of 455136920 is about 769.2143107350.

The spelling of 455136920 in words is "four hundred fifty-five million, one hundred thirty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 95617 191234 382468 478085 669319 764936 956170 1338638 1625489 1912340 2677276 3250978 3346595 3824680 5354552 6501956 6693190 8127445 11378423 13003912 13386380 16254890 22756846 26772760 32509780 45513692 56892115 65019560 91027384 113784230 227568460 455136920