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68955300 = 2234528513
BaseRepresentation
bin1000001110000…
…10110010100100
311210202021220000
410013002302210
5120123032200
610501541300
71465052601
oct407026244
9153667800
1068955300
1135a18157
121b114830
131139416b
14922d6a8
1560c1300
hex41c2ca4

68955300 has 90 divisors (see below), whose sum is σ = 223552098. Its totient is φ = 18385920.

The previous prime is 68955287. The next prime is 68955323. The reversal of 68955300 is 355986.

It can be written as a sum of positive squares in 3 ways, for example, as 19927296 + 49028004 = 4464^2 + 7002^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3844 + ... + 12356.

Almost surely, 268955300 is an apocalyptic number.

68955300 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 68955300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111776049).

68955300 is an abundant number, since it is smaller than the sum of its proper divisors (154596798).

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

68955300 is a wasteful number, since it uses less digits than its factorization.

68955300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8539 (or 8523 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 68955300 is about 8303.9328031963. The cubic root of 68955300 is about 410.0680037905.

The spelling of 68955300 in words is "sixty-eight million, nine hundred fifty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 8513 17026 25539 34052 42565 51078 76617 85130 102156 127695 153234 170260 212825 229851 255390 306468 383085 425650 459702 510780 638475 689553 766170 851300 919404 1149255 1276950 1379106 1532340 1915425 2298510 2553900 2758212 3447765 3830850 4597020 5746275 6895530 7661700 11492550 13791060 17238825 22985100 34477650 68955300