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12061764 = 22331121371
BaseRepresentation
bin101110000000…
…110001000100
3211200210122000
4232000301010
511041434024
61110305300
7204344331
oct56006104
924623560
1012061764
116899200
124058230
132664150
14185d988
1510d3cc9
hexb80c44

12061764 has 144 divisors (see below), whose sum is σ = 37537920. Its totient is φ = 3326400.

The previous prime is 12061757. The next prime is 12061769. The reversal of 12061764 is 46716021.

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 (12061769) 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, 169849 + ... + 169919.

It is an arithmetic number, because the mean of its divisors is an integer number (260680).

Almost surely, 212061764 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 12061764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18768960).

12061764 is an abundant number, since it is smaller than the sum of its proper divisors (25476156).

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

12061764 is a wasteful number, since it uses less digits than its factorization.

12061764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12061764 is about 3473.0050388676. The cubic root of 12061764 is about 229.3349661488.

Adding to 12061764 its reverse (46716021), we get a palindrome (58777785).

The spelling of 12061764 in words is "twelve million, sixty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 71 78 99 108 117 121 132 142 143 156 198 213 234 242 284 286 297 351 363 396 426 429 468 484 572 594 639 702 726 781 852 858 923 1089 1188 1278 1287 1404 1452 1562 1573 1716 1846 1917 2178 2343 2556 2574 2769 3124 3146 3267 3692 3834 3861 4356 4686 4719 5148 5538 6292 6534 7029 7668 7722 8307 8591 9372 9438 10153 11076 13068 14058 14157 15444 16614 17182 18876 20306 21087 24921 25773 28116 28314 30459 33228 34364 40612 42174 42471 49842 51546 56628 60918 77319 84348 84942 91377 99684 103092 111683 121836 154638 169884 182754 223366 231957 274131 309276 335049 365508 446732 463914 548262 670098 927828 1005147 1096524 1340196 2010294 3015441 4020588 6030882 12061764