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20429376 = 2631117569
BaseRepresentation
bin100110111101…
…1101001000000
31102102220211120
41031323221000
520212220001
62005512240
7335434602
oct115735100
942386746
1020429376
1110593990
126a12680
1343039b6
1429db172
151bd8236
hex137ba40

20429376 has 112 divisors (see below), whose sum is σ = 62544960. Its totient is φ = 5816320.

The previous prime is 20429363. The next prime is 20429377. The reversal of 20429376 is 67392402.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20429377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35620 + ... + 36188.

Almost surely, 220429376 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 20429376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31272480).

20429376 is an abundant number, since it is smaller than the sum of its proper divisors (42115584).

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

20429376 is a wasteful number, since it uses less digits than its factorization.

20429376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 20429376 is about 4519.8867242443. The cubic root of 20429376 is about 273.3705336374.

It can be divided in two parts, 204 and 29376, that multiplied together give a square (5992704 = 24482).

The spelling of 20429376 in words is "twenty million, four hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 132 136 176 187 192 204 264 272 352 374 408 528 544 561 569 704 748 816 1056 1088 1122 1138 1496 1632 1707 2112 2244 2276 2992 3264 3414 4488 4552 5984 6259 6828 8976 9104 9673 11968 12518 13656 17952 18208 18777 19346 25036 27312 29019 35904 36416 37554 38692 50072 54624 58038 75108 77384 100144 106403 109248 116076 150216 154768 200288 212806 232152 300432 309536 319209 400576 425612 464304 600864 619072 638418 851224 928608 1201728 1276836 1702448 1857216 2553672 3404896 5107344 6809792 10214688 20429376