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60034140 = 223251723853
BaseRepresentation
bin1110010100000…
…0110001011100
311011222001100200
43211000301130
5110332043030
65542423500
71326165435
oct345006134
9134861320
1060034140
11309845a1
1218131b90
13c58c67a
147d8a48c
15540cd60
hex3940c5c

60034140 has 144 divisors (see below), whose sum is σ = 201434688. Its totient is φ = 14395392.

The previous prime is 60034133. The next prime is 60034153. The reversal of 60034140 is 4143006.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69954 + ... + 70806.

It is an arithmetic number, because the mean of its divisors is an integer number (1398852).

Almost surely, 260034140 is an apocalyptic number.

60034140 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 60034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100717344).

60034140 is an abundant number, since it is smaller than the sum of its proper divisors (141400548).

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

60034140 is a wasteful number, since it uses less digits than its factorization.

60034140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 60034140 is about 7748.1701065477. The cubic root of 60034140 is about 391.5610020278.

Adding to 60034140 its reverse (4143006), we get a palindrome (64177146).

The spelling of 60034140 in words is "sixty million, thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 23 30 34 36 45 46 51 60 68 69 85 90 92 102 115 138 153 170 180 204 207 230 255 276 306 340 345 391 414 460 510 612 690 765 782 828 853 1020 1035 1173 1380 1530 1564 1706 1955 2070 2346 2559 3060 3412 3519 3910 4140 4265 4692 5118 5865 7038 7677 7820 8530 10236 11730 12795 14076 14501 15354 17060 17595 19619 23460 25590 29002 30708 35190 38385 39238 43503 51180 58004 58857 70380 72505 76770 78476 87006 98095 117714 130509 145010 153540 174012 176571 196190 217515 235428 261018 290020 294285 333523 353142 392380 435030 522036 588570 652545 667046 706284 870060 882855 1000569 1177140 1305090 1334092 1667615 1765710 2001138 2610180 3001707 3335230 3531420 4002276 5002845 6003414 6670460 10005690 12006828 15008535 20011380 30017070 60034140