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76140 = 2234547
BaseRepresentation
bin10010100101101100
310212110000
4102211230
54414030
61344300
7434661
oct224554
9125400
1076140
1152229
1238090
132886c
141da68
1517860
hex1296c

76140 has 60 divisors (see below), whose sum is σ = 243936. Its totient is φ = 19872.

The previous prime is 76129. The next prime is 76147. The reversal of 76140 is 4167.

76140 = 43 + 53 + ... + 233.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (76147) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1597 + ... + 1643.

276140 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 76140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121968).

76140 is an abundant number, since it is smaller than the sum of its proper divisors (167796).

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

76140 is a wasteful number, since it uses less digits than its factorization.

76140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 76140 is about 275.9347749016. The cubic root of 76140 is about 42.3842293312.

It can be divided in two parts, 76 and 140, that added together give a cube (216 = 63).

The spelling of 76140 in words is "seventy-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 81 90 94 108 135 141 162 180 188 235 270 282 324 405 423 470 540 564 705 810 846 940 1269 1410 1620 1692 2115 2538 2820 3807 4230 5076 6345 7614 8460 12690 15228 19035 25380 38070 76140