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68377100 = 22521125651
BaseRepresentation
bin1000001001101…
…01101000001100
311202122220202012
410010311220030
5120001031400
610441320352
71460124101
oct404655014
9152586665
1068377100
1135662800
121aa960b8
1311220c2c
14911caa8
156009d35
hex4135a0c

68377100 has 54 divisors (see below), whose sum is σ = 163122372. Its totient is φ = 24860000.

The previous prime is 68377097. The next prime is 68377121. The reversal of 68377100 is 177386.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9275 + ... + 14925.

Almost surely, 268377100 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 68377100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81561186).

68377100 is an abundant number, since it is smaller than the sum of its proper divisors (94745272).

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

68377100 is a wasteful number, since it uses less digits than its factorization.

68377100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5687 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 68377100 is about 8269.0446848472. The cubic root of 68377100 is about 408.9186256969.

The spelling of 68377100 in words is "sixty-eight million, three hundred seventy-seven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 5651 6050 11302 12100 22604 28255 56510 62161 113020 124322 141275 248644 282550 310805 565100 621610 683771 1243220 1367542 1554025 2735084 3108050 3418855 6216100 6837710 13675420 17094275 34188550 68377100