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68651136 = 2732232591
BaseRepresentation
bin1000001011110…
…00100010000000
311210011211122200
410011320202000
5120033314021
610451233200
71462345041
oct405704200
9153154580
1068651136
113582a684
121aba8800
13112b8898
1491908c8
156061126
hex4178880

68651136 has 96 divisors (see below), whose sum is σ = 206219520. Its totient is φ = 21880320.

The previous prime is 68651131. The next prime is 68651137. The reversal of 68651136 is 63115686.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 68651136.

It is not an unprimeable number, because it can be changed into a prime (68651131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25201 + ... + 27791.

It is an arithmetic number, because the mean of its divisors is an integer number (2148120).

Almost surely, 268651136 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 68651136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103109760).

68651136 is an abundant number, since it is smaller than the sum of its proper divisors (137568384).

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

68651136 is a wasteful number, since it uses less digits than its factorization.

68651136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2619 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 68651136 is about 8285.5981075599. The cubic root of 68651136 is about 409.4641741212.

It can be divided in two parts, 6865 and 1136, that added together give a triangular number (8001 = T126).

The spelling of 68651136 in words is "sixty-eight million, six hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2591 2944 3312 4416 5182 6624 7773 8832 10364 13248 15546 20728 23319 26496 31092 41456 46638 59593 62184 82912 93276 119186 124368 165824 178779 186552 238372 248736 331648 357558 373104 476744 497472 536337 715116 746208 953488 994944 1072674 1430232 1492416 1906976 2145348 2860464 2984832 3813952 4290696 5720928 7627904 8581392 11441856 17162784 22883712 34325568 68651136