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61074090 = 232572111259
BaseRepresentation
bin1110100011111…
…0101010101010
311020220212220100
43220332222222
5111113332330
610021010230
71341056400
oct350765252
9136825810
1061074090
1131524960
1218553976
13c864b1c
14817b470
155566060
hex3a3eaaa

61074090 has 144 divisors (see below), whose sum is σ = 201670560. Its totient is φ = 12680640.

The previous prime is 61074067. The next prime is 61074121. The reversal of 61074090 is 9047016.

61074090 is a `hidden beast` number, since 610 + 7 + 40 + 9 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47881 + ... + 49139.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 261074090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61074090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100835280).

61074090 is an abundant number, since it is smaller than the sum of its proper divisors (140596470).

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

61074090 is a wasteful number, since it uses less digits than its factorization.

61074090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 61074090 is about 7814.9913627591. The cubic root of 61074090 is about 393.8090281875.

The spelling of 61074090 in words is "sixty-one million, seventy-four thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 49 55 63 66 70 77 90 98 99 105 110 126 147 154 165 198 210 231 245 294 315 330 385 441 462 490 495 539 630 693 735 770 882 990 1078 1155 1259 1386 1470 1617 2205 2310 2518 2695 3234 3465 3777 4410 4851 5390 6295 6930 7554 8085 8813 9702 11331 12590 13849 16170 17626 18885 22662 24255 26439 27698 37770 41547 44065 48510 52878 56655 61691 69245 79317 83094 88130 96943 113310 123382 124641 132195 138490 158634 185073 193886 207735 249282 264390 290829 308455 370146 396585 415470 484715 555219 581658 616910 623205 678601 793170 872487 925365 969430 1110438 1246410 1357202 1454145 1744974 1850730 2035803 2776095 2908290 3393005 4071606 4362435 5552190 6107409 6786010 8724870 10179015 12214818 20358030 30537045 61074090