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20401248 = 253724337
BaseRepresentation
bin100110111010…
…0110001100000
31102101111020210
41031310301200
520210314443
62005134120
7335256600
oct115646140
942344223
1020401248
111057483a
1269ba340
1342c3c5a
1429d0c00
151bcec33
hex1374c60

20401248 has 72 divisors (see below), whose sum is σ = 62311032. Its totient is φ = 5827584.

The previous prime is 20401223. The next prime is 20401273. The reversal of 20401248 is 84210402.

It is an interprime number because it is at equal distance from previous prime (20401223) and next prime (20401273).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2536 + ... + 6872.

It is an arithmetic number, because the mean of its divisors is an integer number (865431).

Almost surely, 220401248 is an apocalyptic number.

20401248 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 20401248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31155516).

20401248 is an abundant number, since it is smaller than the sum of its proper divisors (41909784).

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

20401248 is a wasteful number, since it uses less digits than its factorization.

20401248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 20401248 is about 4516.7740700637. The cubic root of 20401248 is about 273.2450134374.

The spelling of 20401248 in words is "twenty million, four hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4337 4704 8674 13011 17348 26022 30359 34696 52044 60718 69392 91077 104088 121436 138784 182154 208176 212513 242872 364308 416352 425026 485744 637539 728616 850052 971488 1275078 1457232 1700104 2550156 2914464 3400208 5100312 6800416 10200624 20401248