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68157440 = 220513
BaseRepresentation
bin1000001000000…
…00000000000000
311202020202102122
410010000000000
5114422014230
610432503412
71455220511
oct404000000
9152222378
1068157440
113552276a
121a9aab68
1311174c60
1490a2a08
155eb4be5
hex4100000

68157440 has 84 divisors (see below), whose sum is σ = 176160684. Its totient is φ = 25165824.

The previous prime is 68157433. The next prime is 68157461. The reversal of 68157440 is 4475186.

68157440 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 16777216 + 51380224 = 4096^2 + 7168^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 68157440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5242874 + ... + 5242886.

It is an arithmetic number, because the mean of its divisors is an integer number (2097151).

Almost surely, 268157440 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 68157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88080342).

68157440 is an abundant number, since it is smaller than the sum of its proper divisors (108003244).

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

68157440 is an frugal number, since it uses more digits than its factorization.

68157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 68157440 is about 8255.7519342577. The cubic root of 68157440 is about 408.4802751270.

The spelling of 68157440 in words is "sixty-eight million, one hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2048 2080 2560 3328 4096 4160 5120 6656 8192 8320 10240 13312 16384 16640 20480 26624 32768 33280 40960 53248 65536 66560 81920 106496 131072 133120 163840 212992 262144 266240 327680 425984 524288 532480 655360 851968 1048576 1064960 1310720 1703936 2129920 2621440 3407872 4259840 5242880 6815744 8519680 13631488 17039360 34078720 68157440