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164143616 = 297132271
BaseRepresentation
bin10011100100010…
…10001000000000
3102102212100201012
421302022020000
5314010043431
624142100052
74032124550
oct1162121000
9372770635
10164143616
118472258a
1246b7a628
1328011800
1417b2b160
15e62522b
hex9c8a200

164143616 has 120 divisors (see below), whose sum is σ = 407366784. Its totient is φ = 64696320.

The previous prime is 164143591. The next prime is 164143631. The reversal of 164143616 is 616341461.

164143616 is digitally balanced in base 3, because in such base 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 (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 605561 + ... + 605831.

Almost surely, 2164143616 is an apocalyptic number.

164143616 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 164143616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203683392).

164143616 is an abundant number, since it is smaller than the sum of its proper divisors (243223168).

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

164143616 is an equidigital number, since it uses as much as digits as its factorization.

164143616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 293 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 164143616 is about 12811.8545105695. The cubic root of 164143616 is about 547.5300996080.

The spelling of 164143616 in words is "one hundred sixty-four million, one hundred forty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 256 271 338 364 416 448 512 542 676 728 832 896 1084 1183 1352 1456 1664 1792 1897 2168 2366 2704 2912 3328 3523 3584 3794 4336 4732 5408 5824 6656 7046 7588 8672 9464 10816 11648 14092 15176 17344 18928 21632 23296 24661 28184 30352 34688 37856 43264 45799 46592 49322 56368 60704 69376 75712 86528 91598 98644 112736 121408 138752 151424 183196 197288 225472 242816 302848 320593 366392 394576 450944 485632 605696 641186 732784 789152 901888 971264 1282372 1465568 1578304 1803776 2564744 2931136 3156608 5129488 5862272 6313216 10258976 11724544 12626432 20517952 23449088 41035904 82071808 164143616