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61126780 = 225112132967
BaseRepresentation
bin1110100100101…
…1100001111100
311021000120011211
43221023201330
5111122024110
610022054204
71341366121
oct351134174
9137016154
1061126780
1131560500
121857a364
13c882ac0
148192748
15557698a
hex3a4b87c

61126780 has 144 divisors (see below), whose sum is σ = 159536160. Its totient is φ = 19514880.

The previous prime is 61126771. The next prime is 61126829. The reversal of 61126780 is 8762116.

It is a congruent number.

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, 912307 + ... + 912373.

It is an arithmetic number, because the mean of its divisors is an integer number (1107890).

Almost surely, 261126780 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 61126780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79768080).

61126780 is an abundant number, since it is smaller than the sum of its proper divisors (98409380).

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

61126780 is a wasteful number, since it uses less digits than its factorization.

61126780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 61126780 is about 7818.3617209745. The cubic root of 61126780 is about 393.9222449567.

Adding to 61126780 its reverse (8762116), we get a palindrome (69888896).

The spelling of 61126780 in words is "sixty-one million, one hundred twenty-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 29 44 52 55 58 65 67 110 116 121 130 134 143 145 220 242 260 268 286 290 319 335 377 484 572 580 605 638 670 715 737 754 871 1210 1276 1340 1430 1474 1508 1573 1595 1742 1885 1943 2420 2860 2948 3146 3190 3484 3509 3685 3770 3886 4147 4355 6292 6380 7018 7370 7540 7772 7865 8107 8294 8710 9581 9715 14036 14740 15730 16214 16588 17420 17545 19162 19430 20735 21373 25259 31460 32428 35090 38324 38860 40535 41470 42746 45617 47905 50518 70180 81070 82940 85492 91234 95810 101036 105391 106865 126295 162140 182468 191620 210782 213730 228085 235103 252590 277849 421564 427460 456170 470206 505180 526955 555698 912340 940412 1053910 1111396 1175515 1389245 2107820 2351030 2778490 3056339 4702060 5556980 6112678 12225356 15281695 30563390 61126780