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12190416 = 243727173
BaseRepresentation
bin101110100000…
…001011010000
3211221100002220
4232200023100
511110043131
61113141040
7205421400
oct56401320
924840086
1012190416
116976927
1240ba780
1326aa884
141894800
15110be96
hexba02d0

12190416 has 120 divisors (see below), whose sum is σ = 37658304. Its totient is φ = 3386880.

The previous prime is 12190379. The next prime is 12190417. The reversal of 12190416 is 61409121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12190417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166956 + ... + 167028.

Almost surely, 212190416 is an apocalyptic number.

12190416 is a gapful number since it is divisible by the number (16) 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 12190416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18829152).

12190416 is an abundant number, since it is smaller than the sum of its proper divisors (25467888).

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

12190416 is a wasteful number, since it uses less digits than its factorization.

12190416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 12190416 is about 3491.4776241586. The cubic root of 12190416 is about 230.1474542803.

Adding to 12190416 its reverse (61409121), we get a palindrome (73599537).

The spelling of 12190416 in words is "twelve million, one hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 71 73 84 98 112 142 146 147 168 196 213 219 284 292 294 336 392 426 438 497 511 568 584 588 784 852 876 994 1022 1136 1168 1176 1491 1533 1704 1752 1988 2044 2352 2982 3066 3408 3479 3504 3577 3976 4088 5183 5964 6132 6958 7154 7952 8176 10366 10437 10731 11928 12264 13916 14308 15549 20732 20874 21462 23856 24528 27832 28616 31098 36281 41464 41748 42924 55664 57232 62196 72562 82928 83496 85848 108843 124392 145124 166992 171696 217686 248784 253967 290248 435372 507934 580496 761901 870744 1015868 1523802 1741488 2031736 3047604 4063472 6095208 12190416