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455104100 = 2252114110091
BaseRepresentation
bin11011001000000…
…101011001100100
31011201100200110102
4123020011121210
51413001312400
6113054243232
714164215053
oct3310053144
91151320412
10455104100
112139924a0
121084b6518
1373395c89
144462a39a
1529e4a9d5
hex1b205664

455104100 has 72 divisors (see below), whose sum is σ = 1103741856. Its totient is φ = 161440000.

The previous prime is 455104079. The next prime is 455104129. The reversal of 455104100 is 1401554.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40055 + ... + 50145.

It is an arithmetic number, because the mean of its divisors is an integer number (15329748).

Almost surely, 2455104100 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 455104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551870928).

455104100 is an abundant number, since it is smaller than the sum of its proper divisors (648637756).

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

455104100 is a wasteful number, since it uses less digits than its factorization.

455104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10157 (or 10150 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 455104100 is about 21333.1690097838. The cubic root of 455104100 is about 769.1958208994.

Adding to 455104100 its reverse (1401554), we get a palindrome (456505654).

The spelling of 455104100 in words is "four hundred fifty-five million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 9020 10091 11275 20182 22550 40364 45100 50455 100910 111001 201820 222002 252275 413731 444004 504550 555005 827462 1009100 1110010 1654924 2068655 2220020 2775025 4137310 4551041 5550050 8274620 9102082 10343275 11100100 18204164 20686550 22755205 41373100 45510410 91020820 113776025 227552050 455104100