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68575100 = 225211312011
BaseRepresentation
bin1000001011001…
…01111101111100
311210000222100112
410011211331330
5120023400400
610445445152
71461610256
oct405457574
9153028315
1068575100
1135788540
121ab707b8
13112900a9
149170cd6
156048835
hex4165f7c

68575100 has 72 divisors (see below), whose sum is σ = 167655936. Its totient is φ = 24120000.

The previous prime is 68575099. The next prime is 68575141. The reversal of 68575100 is 157586.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33095 + ... + 35105.

Almost surely, 268575100 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 68575100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83827968).

68575100 is an abundant number, since it is smaller than the sum of its proper divisors (99080836).

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

68575100 is a wasteful number, since it uses less digits than its factorization.

68575100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 68575100 is about 8281.0083927019. The cubic root of 68575100 is about 409.3129480759.

The spelling of 68575100 in words is "sixty-eight million, five hundred seventy-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 2011 3100 3410 4022 6820 8044 8525 10055 17050 20110 22121 34100 40220 44242 50275 62341 88484 100550 110605 124682 201100 221210 249364 311705 442420 553025 623410 685751 1106050 1246820 1371502 1558525 2212100 2743004 3117050 3428755 6234100 6857510 13715020 17143775 34287550 68575100