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20384352 = 253323593
BaseRepresentation
bin100110111000…
…0101001100000
31102100122002000
41031300221200
520204244402
62004524000
7335156412
oct115605140
942318060
1020384352
111056307a
1269b0600
1342b9361
1429c89b2
151bc9c1c
hex1370a60

20384352 has 48 divisors (see below), whose sum is σ = 59456880. Its totient is φ = 6794496.

The previous prime is 20384347. The next prime is 20384363. The reversal of 20384352 is 25348302.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 10933 + ... + 12660.

It is an arithmetic number, because the mean of its divisors is an integer number (1238685).

Almost surely, 220384352 is an apocalyptic number.

It is an amenable number.

20384352 is an abundant number, since it is smaller than the sum of its proper divisors (39072528).

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

20384352 is a wasteful number, since it uses less digits than its factorization.

20384352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23612 (or 23598 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20384352 is about 4514.9033212241. The cubic root of 20384352 is about 273.1695601638.

It can be divided in two parts, 20384 and 352, that added together give a 4-th power (20736 = 124).

The spelling of 20384352 in words is "twenty million, three hundred eighty-four thousand, three hundred fifty-two".

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 23593 47186 70779 94372 141558 188744 212337 283116 377488 424674 566232 637011 754976 849348 1132464 1274022 1698696 2264928 2548044 3397392 5096088 6794784 10192176 20384352