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60142080 = 293541191
BaseRepresentation
bin1110010101101…
…1001000000000
311012011112102110
43211123020000
5110344021310
65545015320
71330125225
oct345331000
9135145373
1060142080
1130a486a9
1218184540
13c5c983b
147db794c
15542ed20
hex395b200

60142080 has 160 divisors (see below), whose sum is σ = 197987328. Its totient is φ = 15564800.

The previous prime is 60142067. The next prime is 60142091. The reversal of 60142080 is 8024106.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314785 + ... + 314975.

Almost surely, 260142080 is an apocalyptic number.

60142080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98993664).

60142080 is an abundant number, since it is smaller than the sum of its proper divisors (137845248).

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

60142080 is a wasteful number, since it uses less digits than its factorization.

60142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 60142080 is about 7755.1324940326. The cubic root of 60142080 is about 391.7955340750.

Adding to 60142080 its reverse (8024106), we get a palindrome (68166186).

The spelling of 60142080 in words is "sixty million, one hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 191 192 205 240 246 256 320 328 382 384 410 480 492 512 573 615 640 656 764 768 820 955 960 984 1146 1230 1280 1312 1528 1536 1640 1910 1920 1968 2292 2460 2560 2624 2865 3056 3280 3820 3840 3936 4584 4920 5248 5730 6112 6560 7640 7680 7831 7872 9168 9840 10496 11460 12224 13120 15280 15662 15744 18336 19680 20992 22920 23493 24448 26240 30560 31324 31488 36672 39155 39360 45840 46986 48896 52480 61120 62648 62976 73344 78310 78720 91680 93972 97792 104960 117465 122240 125296 146688 156620 157440 183360 187944 234930 244480 250592 293376 313240 314880 366720 375888 469860 488960 501184 626480 733440 751776 939720 1002368 1252960 1466880 1503552 1879440 2004736 2505920 3007104 3758880 4009472 5011840 6014208 7517760 10023680 12028416 15035520 20047360 30071040 60142080