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20712972 = 22372371151
BaseRepresentation
bin100111100000…
…0111000001100
31102222022212010
41033000320030
520300303342
62015541220
7341025450
oct117007014
942868763
1020712972
1110767a65
126b2a810
1343a2ac7
142a72660
151c4229c
hex13c0e0c

20712972 has 96 divisors (see below), whose sum is σ = 58834944. Its totient is φ = 5544000.

The previous prime is 20712917. The next prime is 20712973. The reversal of 20712972 is 27921702.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20712973) 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, 137097 + ... + 137247.

It is an arithmetic number, because the mean of its divisors is an integer number (612864).

Almost surely, 220712972 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 20712972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29417472).

20712972 is an abundant number, since it is smaller than the sum of its proper divisors (38121972).

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

20712972 is a wasteful number, since it uses less digits than its factorization.

20712972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 20712972 is about 4551.1506237434. The cubic root of 20712972 is about 274.6296811617.

The spelling of 20712972 in words is "twenty million, seven hundred twelve thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 71 84 92 138 142 151 161 213 276 284 302 322 426 453 483 497 604 644 852 906 966 994 1057 1491 1633 1812 1932 1988 2114 2982 3171 3266 3473 4228 4899 5964 6342 6532 6946 9798 10419 10721 11431 12684 13892 19596 20838 21442 22862 24311 32163 34293 41676 42884 45724 48622 64326 68586 72933 75047 97244 128652 137172 145866 150094 225141 246583 291732 300188 450282 493166 739749 900564 986332 1479498 1726081 2958996 3452162 5178243 6904324 10356486 20712972