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61086740 = 225111323153
BaseRepresentation
bin1110100100000…
…1110000010100
311020221112020212
43221001300110
5111114233430
610021144552
71341141311
oct351016024
9136845225
1061086740
1131533410
121855b158
13c86a800
148181d08
155569b95
hex3a41c14

61086740 has 144 divisors (see below), whose sum is σ = 159376896. Its totient is φ = 19468800.

The previous prime is 61086737. The next prime is 61086743. The reversal of 61086740 is 4768016.

It is an interprime number because it is at equal distance from previous prime (61086737) and next prime (61086743).

It is a junction number, because it is equal to n+sod(n) for n = 61086697 and 61086706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61086743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1152554 + ... + 1152606.

It is an arithmetic number, because the mean of its divisors is an integer number (1106784).

Almost surely, 261086740 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 61086740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79688448).

61086740 is an abundant number, since it is smaller than the sum of its proper divisors (98290156).

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

61086740 is a wasteful number, since it uses less digits than its factorization.

61086740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 61086740 is about 7815.8006627600. The cubic root of 61086740 is about 393.8362156047.

The spelling of 61086740 in words is "sixty-one million, eighty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 31 44 52 53 55 62 65 106 110 124 130 143 155 169 212 220 260 265 286 310 338 341 403 530 572 583 620 676 682 689 715 806 845 1060 1166 1364 1378 1430 1612 1643 1690 1705 1859 2015 2332 2756 2860 2915 3286 3380 3410 3445 3718 4030 4433 5239 5830 6572 6820 6890 7436 7579 8060 8215 8866 8957 9295 10478 11660 13780 15158 16430 17732 17914 18073 18590 20956 21359 22165 26195 30316 32860 35828 36146 37180 37895 42718 44330 44785 52390 57629 72292 75790 85436 88660 89570 90365 98527 104780 106795 115258 151580 179140 180730 197054 213590 230516 234949 277667 288145 361460 394108 427180 469898 492635 555334 576290 939796 985270 1110668 1152580 1174745 1388335 1970540 2349490 2776670 3054337 4698980 5553340 6108674 12217348 15271685 30543370 61086740