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20158464 = 211317193
BaseRepresentation
bin100110011100…
…1100000000000
31101221011012210
41030321200000
520130032324
62000022120
7333226014
oct114714000
941834183
1020158464
1110419397
126901940
13423a5b1
14296a544
151b82d29
hex1339800

20158464 has 96 divisors (see below), whose sum is σ = 57198960. Its totient is φ = 6291456.

The previous prime is 20158433. The next prime is 20158477. The reversal of 20158464 is 46485102.

It is a tau number, because it is divible by the number of its divisors (96).

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, 104352 + ... + 104544.

Almost surely, 220158464 is an apocalyptic number.

20158464 is a gapful number since it is divisible by the number (24) 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 20158464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28599480).

20158464 is an abundant number, since it is smaller than the sum of its proper divisors (37040496).

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

20158464 is a wasteful number, since it uses less digits than its factorization.

20158464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 20158464 is about 4489.8178136757. The cubic root of 20158464 is about 272.1567723690.

The spelling of 20158464 in words is "twenty million, one hundred fifty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 193 204 256 272 384 386 408 512 544 579 768 772 816 1024 1088 1158 1536 1544 1632 2048 2176 2316 3072 3088 3264 3281 4352 4632 6144 6176 6528 6562 8704 9264 9843 12352 13056 13124 17408 18528 19686 24704 26112 26248 34816 37056 39372 49408 52224 52496 74112 78744 98816 104448 104992 148224 157488 197632 209984 296448 314976 395264 419968 592896 629952 839936 1185792 1259904 1679872 2519808 3359744 5039616 6719488 10079232 20158464