Search a number
-
+
68160372 = 22372196101
BaseRepresentation
bin1000001000000…
…00101101110100
311202020220110020
410010000231310
5114422112442
610432525140
71455232200
oct404005564
9152226406
1068160372
1135524995
121a9b07b0
13111763a7
1490a3b00
155eb59ec
hex4100b74

68160372 has 72 divisors (see below), whose sum is σ = 194775840. Its totient is φ = 18446400.

The previous prime is 68160359. The next prime is 68160403. The reversal of 68160372 is 27306186.

It is a super-2 number, since 2×681603722 = 9291672622356768, which contains 22 as substring.

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, 8122 + ... + 14222.

It is an arithmetic number, because the mean of its divisors is an integer number (2705220).

Almost surely, 268160372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68160372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97387920).

68160372 is an abundant number, since it is smaller than the sum of its proper divisors (126615468).

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

68160372 is a wasteful number, since it uses less digits than its factorization.

68160372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141 (or 6132 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 68160372 is about 8255.9295055130. The cubic root of 68160372 is about 408.4861323844.

The spelling of 68160372 in words is "sixty-eight million, one hundred sixty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 532 588 798 931 1596 1862 2793 3724 5586 6101 11172 12202 18303 24404 36606 42707 73212 85414 115919 128121 170828 231838 256242 298949 347757 463676 512484 597898 695514 811433 896847 1195796 1391028 1622866 1793694 2434299 3245732 3587388 4868598 5680031 9737196 11360062 17040093 22720124 34080186 68160372