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12992148 = 223213172371
BaseRepresentation
bin110001100011…
…111010010100
3220110001212200
4301203322110
511311222043
61142244500
7215300661
oct61437224
926401780
1012992148
117374214
124426730
1328cb780
141a22a68
1512197d3
hexc63e94

12992148 has 144 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 3548160.

The previous prime is 12992141. The next prime is 12992153. The reversal of 12992148 is 84129921.

12992148 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12992141) 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, 182953 + ... + 183023.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 212992148 is an apocalyptic number.

12992148 is a gapful number since it is divisible by the number (18) 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 12992148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

12992148 is an abundant number, since it is smaller than the sum of its proper divisors (26634348).

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

12992148 is a wasteful number, since it uses less digits than its factorization.

12992148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 129 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 12992148 is about 3604.4622345088. The cubic root of 12992148 is about 235.0861190327.

The spelling of 12992148 in words is "twelve million, nine hundred ninety-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 23 26 34 36 39 46 51 52 68 69 71 78 92 102 117 138 142 153 156 204 207 213 221 234 276 284 299 306 391 414 426 442 468 598 612 639 663 782 828 852 884 897 923 1173 1196 1207 1278 1326 1564 1633 1794 1846 1989 2346 2414 2556 2652 2691 2769 3266 3519 3588 3621 3692 3978 4692 4828 4899 5083 5382 5538 6532 7038 7242 7956 8307 9798 10166 10764 10863 11076 14076 14484 14697 15249 15691 16614 19596 20332 21229 21726 27761 29394 30498 31382 33228 42458 43452 45747 47073 55522 58788 60996 62764 63687 83283 84916 91494 94146 111044 127374 141219 166566 182988 188292 191061 249849 254748 282438 333132 360893 382122 499698 564876 721786 764244 999396 1082679 1443572 2165358 3248037 4330716 6496074 12992148