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20070960 = 2435713919
BaseRepresentation
bin100110010010…
…0001000110000
31101202201011220
41030210020300
520114232320
61554105040
7332412630
oct114441060
941681156
1020070960
1110369678
12687b180
134209810
1429466c0
151b66e40
hex1324230

20070960 has 160 divisors (see below), whose sum is σ = 76661760. Its totient is φ = 4230144.

The previous prime is 20070943. The next prime is 20070961. The reversal of 20070960 is 6907002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20070960.

It is not an unprimeable number, because it can be changed into a prime (20070961) 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, 21381 + ... + 22299.

It is an arithmetic number, because the mean of its divisors is an integer number (479136).

Almost surely, 220070960 is an apocalyptic number.

20070960 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 20070960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38330880).

20070960 is an abundant number, since it is smaller than the sum of its proper divisors (56590800).

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

20070960 is a wasteful number, since it uses less digits than its factorization.

20070960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 20070960 is about 4480.0624995640. The cubic root of 20070960 is about 271.7624078638.

Adding to 20070960 its reverse (6907002), we get a palindrome (26977962).

The spelling of 20070960 in words is "twenty million, seventy thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 919 1040 1092 1365 1456 1560 1680 1820 1838 2184 2730 2757 3120 3640 3676 4368 4595 5460 5514 6433 7280 7352 9190 10920 11028 11947 12866 13785 14704 18380 19299 21840 22056 23894 25732 27570 32165 35841 36760 38598 44112 47788 51464 55140 59735 64330 71682 73520 77196 83629 95576 96495 102928 110280 119470 128660 143364 154392 167258 179205 191152 192990 220560 238940 250887 257320 286728 308784 334516 358410 385980 418145 477880 501774 514640 573456 669032 716820 771960 836290 955760 1003548 1254435 1338064 1433640 1543920 1672580 2007096 2508870 2867280 3345160 4014192 5017740 6690320 10035480 20070960