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68909800 = 2352291092
BaseRepresentation
bin1000001101101…
…11101011101000
311210122222110211
410012313223220
5120120103200
610500550504
71464503131
oct406675350
9153588424
1068909800
1135996a53
121b0b2434
131137953b
14921ac88
1560b2aba
hex41b7ae8

68909800 has 72 divisors (see below), whose sum is σ = 167274450. Its totient is φ = 26369280.

The previous prime is 68909759. The next prime is 68909801. The reversal of 68909800 is 890986.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 13883076 + 55026724 = 3726^2 + 7418^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (68909801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 632146 + ... + 632254.

Almost surely, 268909800 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 68909800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83637225).

68909800 is an abundant number, since it is smaller than the sum of its proper divisors (98364650).

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

68909800 is a wasteful number, since it uses less digits than its factorization.

68909800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 68909800 is about 8301.1926853917. The cubic root of 68909800 is about 409.9777897943.

The spelling of 68909800 in words is "sixty-eight million, nine hundred nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 109 116 145 200 218 232 290 436 545 580 725 872 1090 1160 1450 2180 2725 2900 3161 4360 5450 5800 6322 10900 11881 12644 15805 21800 23762 25288 31610 47524 59405 63220 79025 95048 118810 126440 158050 237620 297025 316100 344549 475240 594050 632200 689098 1188100 1378196 1722745 2376200 2756392 3445490 6890980 8613725 13781960 17227450 34454900 68909800