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46135980 = 2235511863
BaseRepresentation
bin1010111111111…
…1101010101100
310012210221200000
42233333222230
543302322410
64324504300
71100102142
oct257775254
9105727600
1046135980
1124051710
121354b090
1397346c7
1461ad592
1540b4dc0
hex2bffaac

46135980 has 144 divisors (see below), whose sum is σ = 158505984. Its totient is φ = 11171520.

The previous prime is 46135963. The next prime is 46135981. The reversal of 46135980 is 8953164.

46135980 is a `hidden beast` number, since 4 + 61 + 3 + 598 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46135981) 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, 53029 + ... + 53891.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 246135980 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 46135980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79252992).

46135980 is an abundant number, since it is smaller than the sum of its proper divisors (112370004).

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

46135980 is a wasteful number, since it uses less digits than its factorization.

46135980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 46135980 is about 6792.3471642725. The cubic root of 46135980 is about 358.6574998156.

The spelling of 46135980 in words is "forty-six million, one hundred thirty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 863 891 972 990 1188 1215 1485 1620 1726 1782 1980 2430 2589 2673 2970 3452 3564 4315 4455 4860 5178 5346 5940 7767 8630 8910 9493 10356 10692 12945 13365 15534 17260 17820 18986 23301 25890 26730 28479 31068 37972 38835 46602 47465 51780 53460 56958 69903 77670 85437 93204 94930 113916 116505 139806 142395 155340 170874 189860 209709 233010 256311 279612 284790 341748 349515 419418 427185 466020 512622 569580 699030 768933 838836 854370 1025244 1048545 1281555 1398060 1537866 1708740 2097090 2306799 2563110 3075732 3844665 4194180 4613598 5126220 7689330 9227196 11533995 15378660 23067990 46135980