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68153932 = 22711792801
BaseRepresentation
bin1000000111111…
…11001001001100
311202020120121201
410003333021030
5114421411212
610432435244
71455204340
oct403771114
9152216551
1068153932
1135520070
121a9a8b24
1311173492
1490a1620
155eb3b57
hex40ff24c

68153932 has 48 divisors (see below), whose sum is σ = 150635520. Its totient is φ = 26208000.

The previous prime is 68153927. The next prime is 68153933. The reversal of 68153932 is 23935186.

It is a junction number, because it is equal to n+sod(n) for n = 68153891 and 68153900.

It is not an unprimeable number, because it can be changed into a prime (68153933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22932 + ... + 25732.

It is an arithmetic number, because the mean of its divisors is an integer number (3138240).

Almost surely, 268153932 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 68153932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75317760).

68153932 is an abundant number, since it is smaller than the sum of its proper divisors (82481588).

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

68153932 is a wasteful number, since it uses less digits than its factorization.

68153932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2900 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 68153932 is about 8255.5394735898. The cubic root of 68153932 is about 408.4732669736.

The spelling of 68153932 in words is "sixty-eight million, one hundred fifty-three thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 79 154 158 308 316 553 869 1106 1738 2212 2801 3476 5602 6083 11204 12166 19607 24332 30811 39214 61622 78428 123244 215677 221279 431354 442558 862708 885116 1548953 2434069 3097906 4868138 6195812 9736276 17038483 34076966 68153932