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18020772 = 22337112197
BaseRepresentation
bin100010010111…
…1100110100100
31020220112212000
41010233212210
514103131042
61442125300
7306113460
oct104574644
936815760
1018020772
11a199300
126050830
13396c5a3
1425714a0
1518ae74c
hex112f9a4

18020772 has 144 divisors (see below), whose sum is σ = 58988160. Its totient is φ = 4656960.

The previous prime is 18020767. The next prime is 18020773. The reversal of 18020772 is 27702081.

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

It is not an unprimeable number, because it can be changed into a prime (18020773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91378 + ... + 91574.

It is an arithmetic number, because the mean of its divisors is an integer number (409640).

Almost surely, 218020772 is an apocalyptic number.

18020772 is a gapful number since it is divisible by the number (12) 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 18020772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29494080).

18020772 is an abundant number, since it is smaller than the sum of its proper divisors (40967388).

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

18020772 is a wasteful number, since it uses less digits than its factorization.

18020772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 18020772 is about 4245.0879849539. The cubic root of 18020772 is about 262.1749118527.

The spelling of 18020772 in words is "eighteen million, twenty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 121 126 132 154 189 197 198 231 242 252 297 308 363 378 394 396 462 484 591 594 693 726 756 788 847 924 1089 1182 1188 1379 1386 1452 1694 1773 2079 2167 2178 2364 2541 2758 2772 3267 3388 3546 4137 4158 4334 4356 5082 5319 5516 6501 6534 7092 7623 8274 8316 8668 10164 10638 12411 13002 13068 15169 15246 16548 19503 21276 22869 23837 24822 26004 30338 30492 37233 39006 45507 45738 47674 49644 58509 60676 71511 74466 78012 91014 91476 95348 117018 136521 143022 148932 166859 182028 214533 234036 273042 286044 333718 409563 429066 500577 546084 643599 667436 819126 858132 1001154 1287198 1501731 1638252 2002308 2574396 3003462 4505193 6006924 9010386 18020772