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68004480 = 273535419
BaseRepresentation
bin1000000110110…
…10101010000000
311201221222121110
410003122222000
5114402120410
610425323320
71454012535
oct403325200
9151858543
1068004480
1135428855
121a936540
131112044b
149062d8c
155e84720
hex40daa80

68004480 has 64 divisors (see below), whose sum is σ = 216770400. Its totient is φ = 18134016.

The previous prime is 68004479. The next prime is 68004481. The reversal of 68004480 is 8440086.

It is an interprime number because it is at equal distance from previous prime (68004479) and next prime (68004481).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (68004481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15790 + ... + 19629.

Almost surely, 268004480 is an apocalyptic number.

68004480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68004480 is an abundant number, since it is smaller than the sum of its proper divisors (148765920).

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

68004480 is a wasteful number, since it uses less digits than its factorization.

68004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35441 (or 35429 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 68004480 is about 8246.4828866614. The cubic root of 68004480 is about 408.1744736296.

The spelling of 68004480 in words is "sixty-eight million, four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 35419 70838 106257 141676 177095 212514 283352 354190 425028 531285 566704 708380 850056 1062570 1133408 1416760 1700112 2125140 2266816 2833520 3400224 4250280 4533632 5667040 6800448 8500560 11334080 13600896 17001120 22668160 34002240 68004480