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10014144 = 26377451
BaseRepresentation
bin100110001100…
…110111000000
3200211202211020
4212030313000
510030423034
6554345440
7151055520
oct46146700
920752736
1010014144
11571a858
12342b280
1320c813a
141489680
15d2c249
hex98cdc0

10014144 has 56 divisors (see below), whose sum is σ = 30284928. Its totient is φ = 2860800.

The previous prime is 10014113. The next prime is 10014163. The reversal of 10014144 is 44141001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2382 + ... + 5069.

Almost surely, 210014144 is an apocalyptic number.

10014144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10014144 is an abundant number, since it is smaller than the sum of its proper divisors (20270784).

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

10014144 is an equidigital number, since it uses as much as digits as its factorization.

10014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7473 (or 7463 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10014144 is about 3164.5132327105. The cubic root of 10014144 is about 215.5449955660.

Adding to 10014144 its reverse (44141001), we get a palindrome (54155145).

The spelling of 10014144 in words is "ten million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 7451 14902 22353 29804 44706 52157 59608 89412 104314 119216 156471 178824 208628 238432 312942 357648 417256 476864 625884 715296 834512 1251768 1430592 1669024 2503536 3338048 5007072 10014144