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20460720 = 2435719641
BaseRepresentation
bin100111000001…
…1010010110000
31102111111211110
41032003102300
520214220340
62010313320
7335625150
oct116032260
942444743
1020460720
1110605495
126a28840
134315047
142a08760
151be2680
hex13834b0

20460720 has 160 divisors (see below), whose sum is σ = 76423680. Its totient is φ = 4423680.

The previous prime is 20460697. The next prime is 20460721. The reversal of 20460720 is 2706402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (20460721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31600 + ... + 32240.

It is an arithmetic number, because the mean of its divisors is an integer number (477648).

Almost surely, 220460720 is an apocalyptic number.

20460720 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 20460720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38211840).

20460720 is an abundant number, since it is smaller than the sum of its proper divisors (55962960).

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

20460720 is a wasteful number, since it uses less digits than its factorization.

20460720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 20460720 is about 4523.3527388432. The cubic root of 20460720 is about 273.5102694704.

The spelling of 20460720 in words is "twenty million, four hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 641 665 760 798 840 912 1064 1140 1282 1330 1520 1596 1680 1923 1995 2128 2280 2564 2660 3192 3205 3846 3990 4487 4560 5128 5320 6384 6410 7692 7980 8974 9615 10256 10640 12179 12820 13461 15384 15960 17948 19230 22435 24358 25640 26922 30768 31920 35896 36537 38460 44870 48716 51280 53844 60895 67305 71792 73074 76920 85253 89740 97432 107688 121790 134610 146148 153840 170506 179480 182685 194864 215376 243580 255759 269220 292296 341012 358960 365370 426265 487160 511518 538440 584592 682024 730740 852530 974320 1023036 1076880 1278795 1364048 1461480 1705060 2046072 2557590 2922960 3410120 4092144 5115180 6820240 10230360 20460720