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68075520 = 21435277
BaseRepresentation
bin1000000111011…
…00000000000000
311202002121001120
410003230000000
5114411404040
610431032240
71454426622
oct403540000
9152077046
1068075520
1135477167
121a96b680
1311146896
149080c12
155e9a7d0
hex40ec000

68075520 has 120 divisors (see below), whose sum is σ = 218621424. Its totient is φ = 18087936.

The previous prime is 68075507. The next prime is 68075533. The reversal of 68075520 is 2557086.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68075507) and next prime (68075533).

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245622 + ... + 245898.

Almost surely, 268075520 is an apocalyptic number.

68075520 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 68075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109310712).

68075520 is an abundant number, since it is smaller than the sum of its proper divisors (150545904).

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

68075520 is an equidigital number, since it uses as much as digits as its factorization.

68075520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 68075520 is about 8250.7890531755. The cubic root of 68075520 is about 408.3165555603.

The spelling of 68075520 in words is "sixty-eight million, seventy-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 277 320 384 480 512 554 640 768 831 960 1024 1108 1280 1385 1536 1662 1920 2048 2216 2560 2770 3072 3324 3840 4096 4155 4432 5120 5540 6144 6648 7680 8192 8310 8864 10240 11080 12288 13296 15360 16384 16620 17728 20480 22160 24576 26592 30720 33240 35456 40960 44320 49152 53184 61440 66480 70912 81920 88640 106368 122880 132960 141824 177280 212736 245760 265920 283648 354560 425472 531840 567296 709120 850944 1063680 1134592 1418240 1701888 2127360 2269184 2836480 3403776 4254720 4538368 5672960 6807552 8509440 11345920 13615104 17018880 22691840 34037760 68075520