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20142948 = 2237376481
BaseRepresentation
bin100110011010…
…1101101100100
31101220100221010
41030311231210
520124033243
61555422220
7333132540
oct114655544
941810833
1020142948
1110408771
1268b4970
134233507
142964a20
151b7d433
hex1335b64

20142948 has 48 divisors (see below), whose sum is σ = 55174784. Its totient is φ = 5598720.

The previous prime is 20142929. The next prime is 20142959. The reversal of 20142948 is 84924102.

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, 133 + ... + 6348.

Almost surely, 220142948 is an apocalyptic number.

20142948 is a gapful number since it is divisible by the number (28) 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 20142948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27587392).

20142948 is an abundant number, since it is smaller than the sum of its proper divisors (35031836).

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

20142948 is a wasteful number, since it uses less digits than its factorization.

20142948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6532 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 20142948 is about 4488.0895712987. The cubic root of 20142948 is about 272.0869279541.

The spelling of 20142948 in words is "twenty million, one hundred forty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 3108 6481 12962 19443 25924 38886 45367 77772 90734 136101 181468 239797 272202 479594 544404 719391 959188 1438782 1678579 2877564 3357158 5035737 6714316 10071474 20142948