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61683468 = 223711241277
BaseRepresentation
bin1110101101001…
…1011100001100
311022001211210220
43223103130030
5111242332333
610042031340
71346205120
oct353233414
9138054726
1061683468
1131900780
12187a8550
13ca192c2
148299580
1556368b3
hex3ad370c

61683468 has 96 divisors (see below), whose sum is σ = 180837888. Its totient is φ = 15897600.

The previous prime is 61683439. The next prime is 61683473. The reversal of 61683468 is 86438616.

It is a happy number.

61683468 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

61683468 is a modest number, since divided by 83468 gives 616 as remainder.

61683468 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222546 + ... + 222822.

It is an arithmetic number, because the mean of its divisors is an integer number (1883728).

Almost surely, 261683468 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 61683468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90418944).

61683468 is an abundant number, since it is smaller than the sum of its proper divisors (119154420).

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

61683468 is a wasteful number, since it uses less digits than its factorization.

61683468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 541 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 61683468 is about 7853.8823520600. The cubic root of 61683468 is about 395.1144634359.

The spelling of 61683468 in words is "sixty-one million, six hundred eighty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 241 277 308 462 482 554 723 831 924 964 1108 1446 1662 1687 1939 2651 2892 3047 3324 3374 3878 5061 5302 5817 6094 6748 7756 7953 9141 10122 10604 11634 12188 15906 18282 18557 20244 21329 23268 31812 36564 37114 42658 55671 63987 66757 74228 85316 111342 127974 133514 200271 222684 255948 267028 400542 467299 734327 801084 934598 1401897 1468654 1869196 2202981 2803794 2937308 4405962 5140289 5607588 8811924 10280578 15420867 20561156 30841734 61683468