Search a number
-
+
68983020 = 223251792141
BaseRepresentation
bin1000001110010…
…01100011101100
311210210200220200
410013021203230
5120124424040
610502313500
71465226451
oct407114354
9153720820
1068983020
1135a36a67
121b128890
13113a3972
149239828
1560c9630
hex41c98ec

68983020 has 72 divisors (see below), whose sum is σ = 210515760. Its totient is φ = 18284160.

The previous prime is 68982989. The next prime is 68983021. The reversal of 68983020 is 2038986.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68983021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31150 + ... + 33290.

It is an arithmetic number, because the mean of its divisors is an integer number (2923830).

Almost surely, 268983020 is an apocalyptic number.

68983020 is a gapful number since it is divisible by the number (60) 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 68983020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105257880).

68983020 is an abundant number, since it is smaller than the sum of its proper divisors (141532740).

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

68983020 is a wasteful number, since it uses less digits than its factorization.

68983020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 68983020 is about 8305.6017241378. The cubic root of 68983020 is about 410.1229454808.

The spelling of 68983020 in words is "sixty-eight million, nine hundred eighty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 358 537 716 895 1074 1611 1790 2141 2148 2685 3222 3580 4282 5370 6423 6444 8055 8564 10705 10740 12846 16110 19269 21410 25692 32115 32220 38538 42820 64230 77076 96345 128460 192690 383239 385380 766478 1149717 1532956 1916195 2299434 3449151 3832390 4598868 5748585 6898302 7664780 11497170 13796604 17245755 22994340 34491510 68983020