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20967012 = 2235113753
BaseRepresentation
bin100111111111…
…0111001100100
31110110020100000
41033332321210
520331421022
62025221300
7343134213
oct117767144
943406300
1020967012
1110920910
127031830
134461621
142adb07a
151c926ac
hex13fee64

20967012 has 144 divisors (see below), whose sum is σ = 62741952. Its totient is φ = 6065280.

The previous prime is 20966993. The next prime is 20967041. The reversal of 20967012 is 21076902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395578 + ... + 395630.

It is an arithmetic number, because the mean of its divisors is an integer number (435708).

Almost surely, 220967012 is an apocalyptic number.

20967012 is a gapful number since it is divisible by the number (22) 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 20967012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31370976).

20967012 is an abundant number, since it is smaller than the sum of its proper divisors (41774940).

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

20967012 is a wasteful number, since it uses less digits than its factorization.

20967012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 20967012 is about 4578.9749944720. The cubic root of 20967012 is about 275.7478794037.

The spelling of 20967012 in words is "twenty million, nine hundred sixty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 53 54 66 74 81 99 106 108 111 132 148 159 162 198 212 222 243 297 318 324 333 396 407 444 477 486 583 594 636 666 814 891 954 972 999 1166 1188 1221 1332 1431 1628 1749 1782 1908 1961 1998 2332 2442 2673 2862 2997 3498 3564 3663 3922 3996 4293 4884 5247 5346 5724 5883 5994 6996 7326 7844 8586 8991 10494 10692 10989 11766 11988 12879 14652 15741 17172 17649 17982 20988 21571 21978 23532 25758 31482 32967 35298 35964 43142 43956 47223 51516 52947 62964 64713 65934 70596 86284 94446 98901 105894 129426 131868 141669 158841 188892 194139 197802 211788 258852 283338 317682 388278 395604 476523 566676 582417 635364 776556 953046 1164834 1747251 1906092 2329668 3494502 5241753 6989004 10483506 20967012