Search a number
-
+
61306290 = 23252983283
BaseRepresentation
bin1110100111011…
…1010110110010
311021100200102100
43221313112302
5111143300130
610030001230
71343044353
oct351672662
9137320370
1061306290
1131673361
1218646216
13c916716
1481dbd2a
1555aec60
hex3a775b2

61306290 has 96 divisors (see below), whose sum is σ = 167469120. Its totient is φ = 15539328.

The previous prime is 61306279. The next prime is 61306309. The reversal of 61306290 is 9260316.

It is a happy number.

61306290 is a `hidden beast` number, since 6 + 1 + 30 + 629 + 0 = 666.

It is a super-2 number, since 2×613062902 = 7516922387128200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216489 + ... + 216771.

It is an arithmetic number, because the mean of its divisors is an integer number (1744470).

Almost surely, 261306290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61306290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83734560).

61306290 is an abundant number, since it is smaller than the sum of its proper divisors (106162830).

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

61306290 is a wasteful number, since it uses less digits than its factorization.

61306290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 61306290 is about 7829.8333315595. The cubic root of 61306290 is about 394.3074764071.

The spelling of 61306290 in words is "sixty-one million, three hundred six thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 83 87 90 145 166 174 249 261 283 290 415 435 498 522 566 747 830 849 870 1245 1305 1415 1494 1698 2407 2490 2547 2610 2830 3735 4245 4814 5094 7221 7470 8207 8490 12035 12735 14442 16414 21663 23489 24070 24621 25470 36105 41035 43326 46978 49242 70467 72210 73863 82070 108315 117445 123105 140934 147726 211401 216630 234890 246210 352335 369315 422802 681181 704670 738630 1057005 1362362 2043543 2114010 3405905 4087086 6130629 6811810 10217715 12261258 20435430 30653145 61306290