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461377140 = 2235721391129
BaseRepresentation
bin11011100000000…
…000111001110100
31012011011101110020
4123200000321310
51421103032030
6113440525140
714301432600
oct3340007164
91164141406
10461377140
11217487524
1210a6207b0
1374781333
14453c0500
152a789510
hex1b800e74

461377140 has 144 divisors (see below), whose sum is σ = 1514923200. Its totient is φ = 104606208.

The previous prime is 461377139. The next prime is 461377151. The reversal of 461377140 is 41773164.

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, 408096 + ... + 409224.

It is an arithmetic number, because the mean of its divisors is an integer number (10520300).

Almost surely, 2461377140 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 461377140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757461600).

461377140 is an abundant number, since it is smaller than the sum of its proper divisors (1053546060).

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

461377140 is a wasteful number, since it uses less digits than its factorization.

461377140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 461377140 is about 21479.6913385644. The cubic root of 461377140 is about 772.7138399007.

The spelling of 461377140 in words is "four hundred sixty-one million, three hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 139 140 147 196 210 245 278 294 417 420 490 556 588 695 735 834 973 980 1129 1390 1470 1668 1946 2085 2258 2780 2919 2940 3387 3892 4170 4516 4865 5645 5838 6774 6811 7903 8340 9730 11290 11676 13548 13622 14595 15806 16935 19460 20433 22580 23709 27244 29190 31612 33870 34055 39515 40866 47418 55321 58380 67740 68110 79030 81732 94836 102165 110642 118545 136220 156931 158060 165963 204330 221284 237090 276605 313862 331926 408660 470793 474180 553210 627724 663852 784655 829815 941586 1098517 1106420 1569310 1659630 1883172 2197034 2353965 3138620 3295551 3319260 4394068 4707930 5492585 6591102 7689619 9415860 10985170 13182204 15379238 16477755 21970340 23068857 30758476 32955510 38448095 46137714 65911020 76896190 92275428 115344285 153792380 230688570 461377140