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68358480 = 2435416947
BaseRepresentation
bin1000001001100…
…01000101010000
311202121222012120
410010301011100
5114444432410
610441054240
71460015601
oct404610520
9152558176
1068358480
113564a813
121aa87380
1311215608
149115da8
156004570
hex4131150

68358480 has 80 divisors (see below), whose sum is σ = 217111104. Its totient is φ = 17781760.

The previous prime is 68358473. The next prime is 68358487. The reversal of 68358480 is 8485386.

It is an interprime number because it is at equal distance from previous prime (68358473) and next prime (68358487).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68358487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6367 + ... + 13313.

Almost surely, 268358480 is an apocalyptic number.

68358480 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 68358480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108555552).

68358480 is an abundant number, since it is smaller than the sum of its proper divisors (148752624).

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

68358480 is a wasteful number, since it uses less digits than its factorization.

68358480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7004 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 68358480 is about 8267.9187223872. The cubic root of 68358480 is about 408.8815043212.

The spelling of 68358480 in words is "sixty-eight million, three hundred fifty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 6947 9840 13894 20841 27788 34735 41682 55576 69470 83364 104205 111152 138940 166728 208410 277880 284827 333456 416820 555760 569654 833640 854481 1139308 1424135 1667280 1708962 2278616 2848270 3417924 4272405 4557232 5696540 6835848 8544810 11393080 13671696 17089620 22786160 34179240 68358480