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68907400 = 23521133049
BaseRepresentation
bin1000001101101…
…11000110001000
311210122212011221
410012313012020
5120120014100
610500531424
71464463132
oct406670610
9153585157
1068907400
1135995171
121b0b0b74
1311378413
14921a052
1560b201a
hex41b7188

68907400 has 48 divisors (see below), whose sum is σ = 161680500. Its totient is φ = 27310080.

The previous prime is 68907383. The next prime is 68907403. The reversal of 68907400 is 470986.

It can be written as a sum of positive squares in 6 ways, for example, as 580644 + 68326756 = 762^2 + 8266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68907403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21076 + ... + 24124.

Almost surely, 268907400 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 68907400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80840250).

68907400 is an abundant number, since it is smaller than the sum of its proper divisors (92773100).

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

68907400 is a wasteful number, since it uses less digits than its factorization.

68907400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 68907400 is about 8301.0481265922. The cubic root of 68907400 is about 409.9730301514.

The spelling of 68907400 in words is "sixty-eight million, nine hundred seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 3049 4520 5650 6098 11300 12196 15245 22600 24392 30490 60980 76225 121960 152450 304900 344537 609800 689074 1378148 1722685 2756296 3445370 6890740 8613425 13781480 17226850 34453700 68907400