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68169984 = 283372399
BaseRepresentation
bin1000001000000…
…11000100000000
311202021101122020
410010003010000
5114422414414
610433041440
71455302211
oct404030400
9152241566
1068169984
1135531133
121a9b6280
131117a88c
1490a7408
155eb87a9
hex4103100

68169984 has 72 divisors (see below), whose sum is σ = 186412800. Its totient is φ = 22099968.

The previous prime is 68169979. The next prime is 68169991. The reversal of 68169984 is 48996186.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27217 + ... + 29615.

Almost surely, 268169984 is an apocalyptic number.

68169984 is a gapful number since it is divisible by the number (64) 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 68169984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93206400).

68169984 is an abundant number, since it is smaller than the sum of its proper divisors (118242816).

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

68169984 is a wasteful number, since it uses less digits than its factorization.

68169984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2441 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 68169984 is about 8256.5116120551. The cubic root of 68169984 is about 408.5053331019.

The spelling of 68169984 in words is "sixty-eight million, one hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 2399 3552 4736 4798 7104 7197 9472 9596 14208 14394 19192 28416 28788 38384 57576 76768 88763 115152 153536 177526 230304 266289 307072 355052 460608 532578 614144 710104 921216 1065156 1420208 1842432 2130312 2840416 4260624 5680832 8521248 11361664 17042496 22723328 34084992 68169984