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16629144 = 2337312103
BaseRepresentation
bin111111011011…
…110110011000
31011021211220020
4333123312120
513224113034
61352230440
7261226320
oct77336630
934254806
1016629144
1194287a4
12569b420
1335a303c
1422cc280
1516d7249
hexfdbd98

16629144 has 96 divisors (see below), whose sum is σ = 49570560. Its totient is φ = 4553280.

The previous prime is 16629127. The next prime is 16629163. The reversal of 16629144 is 44192661.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161397 + ... + 161499.

It is an arithmetic number, because the mean of its divisors is an integer number (516360).

Almost surely, 216629144 is an apocalyptic number.

16629144 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 16629144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24785280).

16629144 is an abundant number, since it is smaller than the sum of its proper divisors (32941416).

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

16629144 is a wasteful number, since it uses less digits than its factorization.

16629144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 146 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 16629144 is about 4077.8847457965. The cubic root of 16629144 is about 255.2446402716.

The spelling of 16629144 in words is "sixteen million, six hundred twenty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 103 124 168 186 206 217 248 309 372 412 434 618 651 721 744 824 868 961 1236 1302 1442 1736 1922 2163 2472 2604 2883 2884 3193 3844 4326 5208 5766 5768 6386 6727 7688 8652 9579 11532 12772 13454 17304 19158 20181 22351 23064 25544 26908 38316 40362 44702 53816 67053 76632 80724 89404 98983 134106 161448 178808 197966 268212 296949 395932 536424 593898 692881 791864 1187796 1385762 2078643 2375592 2771524 4157286 5543048 8314572 16629144