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20951424 = 2732131399
BaseRepresentation
bin100111111101…
…1000110000000
31110102102221200
41033323012000
520330421144
62025021200
7343040604
oct117730600
943372850
1020951424
111091012a
127024800
1344574c0
142ad5504
151c8cc69
hex13fb180

20951424 has 96 divisors (see below), whose sum is σ = 64974000. Its totient is φ = 6441984.

The previous prime is 20951423. The next prime is 20951467. The reversal of 20951424 is 42415902.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20951423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14277 + ... + 15675.

Almost surely, 220951424 is an apocalyptic number.

20951424 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 20951424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32487000).

20951424 is an abundant number, since it is smaller than the sum of its proper divisors (44022576).

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

20951424 is a wasteful number, since it uses less digits than its factorization.

20951424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20951424 is about 4577.2725503295. The cubic root of 20951424 is about 275.6795272132.

The spelling of 20951424 in words is "twenty million, nine hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1399 1664 1872 2496 2798 3744 4197 4992 5596 7488 8394 11192 12591 14976 16788 18187 22384 25182 33576 36374 44768 50364 54561 67152 72748 89536 100728 109122 134304 145496 163683 179072 201456 218244 268608 290992 327366 402912 436488 537216 581984 654732 805824 872976 1163968 1309464 1611648 1745952 2327936 2618928 3491904 5237856 6983808 10475712 20951424