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8142680 = 2357132237
BaseRepresentation
bin11111000011111101011000
3120022200122202
4133003331120
54041031210
6450305332
7126132410
oct37037530
916280582
108142680
114661797
122888248
1318c1370
14111d640
15aac9a5
hex7c3f58

8142680 has 64 divisors (see below), whose sum is σ = 22559040. Its totient is φ = 2575872.

The previous prime is 8142671. The next prime is 8142683. The reversal of 8142680 is 862418.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8142683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2522 + ... + 4758.

It is an arithmetic number, because the mean of its divisors is an integer number (352485).

Almost surely, 28142680 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 8142680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11279520).

8142680 is an abundant number, since it is smaller than the sum of its proper divisors (14416360).

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

8142680 is a wasteful number, since it uses less digits than its factorization.

8142680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 8142680 is about 2853.5381546424. The cubic root of 8142680 is about 201.1820006111.

The spelling of 8142680 in words is "eight million, one hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 2237 3640 4474 8948 11185 15659 17896 22370 29081 31318 44740 58162 62636 78295 89480 116324 125272 145405 156590 203567 232648 290810 313180 407134 581620 626360 814268 1017835 1163240 1628536 2035670 4071340 8142680