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68890100 = 2252739437
BaseRepresentation
bin1000001101100…
…10110111110100
311210121222110012
410012302313310
5120113440400
610500315352
71464361526
oct406626764
9153558405
1068890100
1135983174
121b0a2b58
1311370596
149213a16
1560abd35
hex41b2df4

68890100 has 36 divisors (see below), whose sum is σ = 151555404. Its totient is φ = 27175680.

The previous prime is 68890099. The next prime is 68890117. The reversal of 68890100 is 109886.

It can be written as a sum of positive squares in 6 ways, for example, as 364816 + 68525284 = 604^2 + 8278^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2582 + ... + 12018.

Almost surely, 268890100 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 68890100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75777702).

68890100 is an abundant number, since it is smaller than the sum of its proper divisors (82665304).

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

68890100 is a wasteful number, since it uses less digits than its factorization.

68890100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9524 (or 9517 counting only the distinct ones).

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

The square root of 68890100 is about 8300.0060240942. The cubic root of 68890100 is about 409.9387177889.

Adding to 68890100 its reverse (109886), we get a palindrome (68999986).

The spelling of 68890100 in words is "sixty-eight million, eight hundred ninety thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 9437 18874 37748 47185 94370 188740 235925 471850 688901 943700 1377802 2755604 3444505 6889010 13778020 17222525 34445050 68890100