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20432720 = 24571131107
BaseRepresentation
bin100110111110…
…0011101010000
31102110002102102
41031330131100
520212321340
62005535532
7335450420
oct115743520
942402372
1020432720
1110596450
126a145a8
134305389
1429dc480
151bd9215
hex137c750

20432720 has 160 divisors (see below), whose sum is σ = 61710336. Its totient is φ = 6105600.

The previous prime is 20432707. The next prime is 20432729. The reversal of 20432720 is 2723402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20432692 and 20432701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20432729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190907 + ... + 191013.

Almost surely, 220432720 is an apocalyptic number.

20432720 is a gapful number since it is divisible by the number (20) 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 20432720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30855168).

20432720 is an abundant number, since it is smaller than the sum of its proper divisors (41277616).

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

20432720 is a wasteful number, since it uses less digits than its factorization.

20432720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 20432720 is about 4520.2566298829. The cubic root of 20432720 is about 273.3854484540.

The spelling of 20432720 in words is "twenty million, four hundred thirty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 31 35 40 44 55 56 62 70 77 80 88 107 110 112 124 140 154 155 176 214 217 220 248 280 308 310 341 385 428 434 440 496 535 560 616 620 682 749 770 856 868 880 1070 1085 1177 1232 1240 1364 1498 1540 1705 1712 1736 2140 2170 2354 2387 2480 2728 2996 3080 3317 3410 3472 3745 4280 4340 4708 4774 5456 5885 5992 6160 6634 6820 7490 8239 8560 8680 9416 9548 11770 11935 11984 13268 13640 14980 16478 16585 17360 18832 19096 23219 23540 23870 26536 27280 29960 32956 33170 36487 38192 41195 46438 47080 47740 53072 59920 65912 66340 72974 82390 92876 94160 95480 116095 131824 132680 145948 164780 182435 185752 190960 232190 255409 265360 291896 329560 364870 371504 464380 510818 583792 659120 729740 928760 1021636 1277045 1459480 1857520 2043272 2554090 2918960 4086544 5108180 10216360 20432720