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68190080 = 275731491
BaseRepresentation
bin1000001000001…
…11111110000000
311202022102012112
410010013332000
5114424040310
610433314452
71455414620
oct404077600
9152272175
1068190080
1135545242
121aa05a28
1311186a7a
1490b0880
155ebe705
hex4107f80

68190080 has 128 divisors (see below), whose sum is σ = 192706560. Its totient is φ = 22579200.

The previous prime is 68190071. The next prime is 68190151. The reversal of 68190080 is 8009186.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138635 + ... + 139125.

It is an arithmetic number, because the mean of its divisors is an integer number (1505520).

Almost surely, 268190080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96353280).

68190080 is an abundant number, since it is smaller than the sum of its proper divisors (124516480).

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

68190080 is a wasteful number, since it uses less digits than its factorization.

68190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 68190080 is about 8257.7285012284. The cubic root of 68190080 is about 408.5454705942.

The spelling of 68190080 in words is "sixty-eight million, one hundred ninety thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 280 310 320 434 448 491 496 560 620 640 868 896 982 992 1085 1120 1240 1736 1964 1984 2170 2240 2455 2480 3437 3472 3928 3968 4340 4480 4910 4960 6874 6944 7856 8680 9820 9920 13748 13888 15221 15712 17185 17360 19640 19840 27496 27776 30442 31424 34370 34720 39280 54992 60884 62848 68740 69440 76105 78560 106547 109984 121768 137480 138880 152210 157120 213094 219968 243536 274960 304420 314240 426188 439936 487072 532735 549920 608840 852376 974144 1065470 1099840 1217680 1704752 1948288 2130940 2199680 2435360 3409504 4261880 4870720 6819008 8523760 9741440 13638016 17047520 34095040 68190080