Search a number
-
+
20972505960 = 2333572774141
BaseRepresentation
bin10011100010000011…
…110000101101101000
32000010121110200122000
4103202003300231220
5320422430142320
613345025331000
71341501234150
oct234203605550
960117420560
1020972505960
11899248415a
124093796a60
131c93009653
14102d517760
1582b31ac90
hex4e20f0b68

20972505960 has 128 divisors (see below), whose sum is σ = 79895289600. Its totient is φ = 4793713920.

The previous prime is 20972505949. The next prime is 20972505973. The reversal of 20972505960 is 6950527902.

20972505960 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 2 + 50 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1379511 + ... + 1394630.

It is an arithmetic number, because the mean of its divisors is an integer number (624181950).

Almost surely, 220972505960 is an apocalyptic number.

20972505960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20972505960 is an abundant number, since it is smaller than the sum of its proper divisors (58922783640).

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

20972505960 is a wasteful number, since it uses less digits than its factorization.

20972505960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774168 (or 2774158 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 20972505960 in words is "twenty billion, nine hundred seventy-two million, five hundred five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 2774141 5548282 8322423 11096564 13870705 16644846 19418987 22193128 24967269 27741410 33289692 38837974 41612115 49934538 55482820 58256961 66579384 74901807 77675948 83224230 97094935 99869076 110965640 116513922 124836345 149803614 155351896 166448460 174770883 194189870 199738152 233027844 249672690 291284805 299607228 332896920 349541766 374509035 388379740 466055688 499345380 524312649 582569610 599214456 699083532 749018070 776759480 873854415 998690760 1048625298 1165139220 1398167064 1498036140 1747708830 2097250596 2330278440 2621563245 2996072280 3495417660 4194501192 5243126490 6990835320 10486252980 20972505960