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10419080 = 2357127293
BaseRepresentation
bin100111101111…
…101110001000
3201121100021212
4213233232020
510131402310
61011152252
7154363220
oct47575610
921540255
1010419080
115977011
1235a5688
13220a549
141553080
15dac205
hex9efb88

10419080 has 64 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 3532032.

The previous prime is 10419067. The next prime is 10419083. The reversal of 10419080 is 8091401.

It is not an unprimeable number, because it can be changed into a prime (10419083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35414 + ... + 35706.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 210419080 is an apocalyptic number.

10419080 is a gapful number since it is divisible by the number (10) 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 10419080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

10419080 is an abundant number, since it is smaller than the sum of its proper divisors (16675960).

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

10419080 is a wasteful number, since it uses less digits than its factorization.

10419080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 10419080 is about 3227.8599721797. The cubic root of 10419080 is about 218.4119808086.

The spelling of 10419080 in words is "ten million, four hundred nineteen thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 127 140 254 280 293 508 586 635 889 1016 1172 1270 1465 1778 2051 2344 2540 2930 3556 4102 4445 5080 5860 7112 8204 8890 10255 11720 16408 17780 20510 35560 37211 41020 74422 82040 148844 186055 260477 297688 372110 520954 744220 1041908 1302385 1488440 2083816 2604770 5209540 10419080