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68749940 = 2257231273
BaseRepresentation
bin1000001100100…
…00101001110100
311210100212012002
410012100221310
5120044444230
610453314432
71463236100
oct406205164
9153325162
1068749940
1135897936
121b035a18
131132184c
1491b8900
156080545
hex4190a74

68749940 has 108 divisors (see below), whose sum is σ = 175915908. Its totient is φ = 22498560.

The previous prime is 68749903. The next prime is 68749943. The reversal of 68749940 is 4994786.

It can be written as a sum of positive squares in 2 ways, for example, as 31832164 + 36917776 = 5642^2 + 6076^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68749943) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 941744 + ... + 941816.

It is an arithmetic number, because the mean of its divisors is an integer number (1628851).

Almost surely, 268749940 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 68749940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87957954).

68749940 is an abundant number, since it is smaller than the sum of its proper divisors (107165968).

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

68749940 is a wasteful number, since it uses less digits than its factorization.

68749940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 68749940 is about 8291.5583577516. The cubic root of 68749940 is about 409.6605161263.

The spelling of 68749940 in words is "sixty-eight million, seven hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 73 98 124 140 146 155 196 217 245 292 310 365 434 490 511 620 730 868 961 980 1022 1085 1460 1519 1922 2044 2170 2263 2555 3038 3577 3844 4340 4526 4805 5110 6076 6727 7154 7595 9052 9610 10220 11315 13454 14308 15190 15841 17885 19220 22630 26908 30380 31682 33635 35770 45260 47089 63364 67270 70153 71540 79205 94178 110887 134540 140306 158410 188356 221774 235445 280612 316820 350765 443548 470890 491071 554435 701530 941780 982142 1108870 1403060 1964284 2217740 2455355 3437497 4910710 6874994 9821420 13749988 17187485 34374970 68749940