Search a number
-
+
68032980 = 22335177411
BaseRepresentation
bin1000000111000…
…01100111010100
311202000102201000
410003201213110
5114404023410
610430103300
71454161611
oct403414724
9152012630
1068032980
1135448204
121a94ab30
1311130402
14906d508
155e8cdc0
hex40e19d4

68032980 has 96 divisors (see below), whose sum is σ = 224138880. Its totient is φ = 17072640.

The previous prime is 68032969. The next prime is 68033029. The reversal of 68032980 is 8923086.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5475 + ... + 12885.

It is an arithmetic number, because the mean of its divisors is an integer number (2334780).

Almost surely, 268032980 is an apocalyptic number.

68032980 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 68032980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112069440).

68032980 is an abundant number, since it is smaller than the sum of its proper divisors (156105900).

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

68032980 is a wasteful number, since it uses less digits than its factorization.

68032980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446 (or 7438 counting only the distinct ones).

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

The square root of 68032980 is about 8248.2107150581. The cubic root of 68032980 is about 408.2314862842.

The spelling of 68032980 in words is "sixty-eight million, thirty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 7411 9180 14822 22233 29644 37055 44466 66699 74110 88932 111165 125987 133398 148220 200097 222330 251974 266796 333495 377961 400194 444660 503948 629935 666990 755922 800388 1000485 1133883 1259870 1333980 1511844 1889805 2000970 2267766 2519740 3401649 3779610 4001940 4535532 5669415 6803298 7559220 11338830 13606596 17008245 22677660 34016490 68032980