Search a number
-
+
168237972 = 22347210597
BaseRepresentation
bin10100000011100…
…01101110010100
3102201120101010000
422001301232110
5321032103342
624405531300
74111666500
oct1201615624
9381511100
10168237972
1186a69751
1248413b30
1328b162c6
14184b5300
15eb8344c
hexa071b94

168237972 has 90 divisors (see below), whose sum is σ = 511660842. Its totient is φ = 48063456.

The previous prime is 168237959. The next prime is 168238013. The reversal of 168237972 is 279732861.

It can be written as a sum of positive squares in only one way, i.e., 99082116 + 69155856 = 9954^2 + 8316^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10578 + ... + 21174.

Almost surely, 2168237972 is an apocalyptic number.

168237972 is a gapful number since it is divisible by the number (12) 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 168237972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255830421).

168237972 is an abundant number, since it is smaller than the sum of its proper divisors (343422870).

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

168237972 is a wasteful number, since it uses less digits than its factorization.

168237972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10627 (or 10609 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 168237972 is about 12970.6581174588. The cubic root of 168237972 is about 552.0452467637.

The spelling of 168237972 in words is "one hundred sixty-eight million, two hundred thirty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 10597 15876 21194 31791 42388 63582 74179 95373 127164 148358 190746 222537 286119 296716 381492 445074 519253 572238 667611 858357 890148 1038506 1144476 1335222 1557759 1716714 2002833 2077012 2670444 3115518 3433428 4005666 4673277 6008499 6231036 8011332 9346554 12016998 14019831 18693108 24033996 28039662 42059493 56079324 84118986 168237972