Search a number
-
+
12198004 = 22713233147
BaseRepresentation
bin101110100010…
…000001110100
3211221201111221
4232202001310
511110314004
61113240124
7205452460
oct56420164
924851457
1012198004
1169815a5
124103044
1326b1170
1418974a0
15110e354
hexba2074

12198004 has 96 divisors (see below), whose sum is σ = 28901376. Its totient is φ = 4371840.

The previous prime is 12198001. The next prime is 12198007. The reversal of 12198004 is 40089121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12198001) and next prime (12198007).

It is a self number, because there is not a number n which added to its sum of digits gives 12198004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12198001) 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, 259509 + ... + 259555.

It is an arithmetic number, because the mean of its divisors is an integer number (301056).

Almost surely, 212198004 is an apocalyptic number.

12198004 is a gapful number since it is divisible by the number (14) 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 12198004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14450688).

12198004 is an abundant number, since it is smaller than the sum of its proper divisors (16703372).

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

12198004 is a wasteful number, since it uses less digits than its factorization.

12198004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 12198004 is about 3492.5641010581. The cubic root of 12198004 is about 230.1951966123.

The spelling of 12198004 in words is "twelve million, one hundred ninety-eight thousand, four".

Divisors: 1 2 4 7 13 14 23 26 28 31 46 47 52 62 91 92 94 124 161 182 188 217 299 322 329 364 403 434 598 611 644 658 713 806 868 1081 1196 1222 1316 1426 1457 1612 2093 2162 2444 2821 2852 2914 4186 4277 4324 4991 5642 5828 7567 8372 8554 9269 9982 10199 11284 14053 15134 17108 18538 18941 19964 20398 28106 30268 33511 37076 37882 40796 56212 64883 67022 75764 98371 129766 132587 134044 196742 234577 259532 265174 393484 435643 469154 530348 871286 938308 1742572 3049501 6099002 12198004