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20301408 = 253323497
BaseRepresentation
bin100110101110…
…0011001100000
31102012102022000
41031130121200
520144121113
62003044000
7334362531
oct115343140
942172260
1020301408
1110506826
126970600
13428a68a
1429a6688
151bb0373
hex135c660

20301408 has 48 divisors (see below), whose sum is σ = 59214960. Its totient is φ = 6766848.

The previous prime is 20301401. The next prime is 20301409. The reversal of 20301408 is 80410302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301401) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10885 + ... + 12612.

It is an arithmetic number, because the mean of its divisors is an integer number (1233645).

Almost surely, 220301408 is an apocalyptic number.

It is an amenable number.

20301408 is an abundant number, since it is smaller than the sum of its proper divisors (38913552).

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

20301408 is a wasteful number, since it uses less digits than its factorization.

20301408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23516 (or 23502 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20301408 is about 4505.7083793783. The cubic root of 20301408 is about 272.7985471897.

The spelling of 20301408 in words is "twenty million, three hundred one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 23497 46994 70491 93988 140982 187976 211473 281964 375952 422946 563928 634419 751904 845892 1127856 1268838 1691784 2255712 2537676 3383568 5075352 6767136 10150704 20301408