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20433408 = 29353251
BaseRepresentation
bin100110111110…
…0101000000000
31102110010100220
41031330220000
520212332113
62005543040
7335452422
oct115745000
942403326
1020433408
1110596a16
126a14a80
134305798
1429dc812
151bd9523
hex137ca00

20433408 has 80 divisors (see below), whose sum is σ = 55683936. Its totient is φ = 6656000.

The previous prime is 20433403. The next prime is 20433409. The reversal of 20433408 is 80433402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20433403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81283 + ... + 81533.

Almost surely, 220433408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20433408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27841968).

20433408 is an abundant number, since it is smaller than the sum of its proper divisors (35250528).

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

20433408 is an equidigital number, since it uses as much as digits as its factorization.

20433408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 20433408 is about 4520.3327311162. The cubic root of 20433408 is about 273.3885168508.

The spelling of 20433408 in words is "twenty million, four hundred thirty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 251 256 318 384 424 502 512 636 753 768 848 1004 1272 1506 1536 1696 2008 2544 3012 3392 4016 5088 6024 6784 8032 10176 12048 13303 13568 16064 20352 24096 26606 27136 32128 39909 40704 48192 53212 64256 79818 81408 96384 106424 128512 159636 192768 212848 319272 385536 425696 638544 851392 1277088 1702784 2554176 3405568 5108352 6811136 10216704 20433408