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68092140 = 223517241277
BaseRepresentation
bin1000000111100…
…00000011101100
311202010102212010
410003300003230
5114412422030
610431241220
71454526234
oct403600354
9152112763
1068092140
11354886a6
121a979210
131115130c
149086cc4
155ea06b0
hex40f00ec

68092140 has 96 divisors (see below), whose sum is σ = 203442624. Its totient is φ = 16957440.

The previous prime is 68092139. The next prime is 68092147. The reversal of 68092140 is 4129086.

It is a Harshad number since it is a multiple of its sum of digits (30).

68092140 is a modest number, since divided by 92140 gives 680 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 68092098 and 68092107.

It is not an unprimeable number, because it can be changed into a prime (68092147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245682 + ... + 245958.

It is an arithmetic number, because the mean of its divisors is an integer number (2119194).

Almost surely, 268092140 is an apocalyptic number.

68092140 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 68092140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101721312).

68092140 is an abundant number, since it is smaller than the sum of its proper divisors (135350484).

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

68092140 is a wasteful number, since it uses less digits than its factorization.

68092140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 68092140 is about 8251.7961681079. The cubic root of 68092140 is about 408.3497817429.

The spelling of 68092140 in words is "sixty-eight million, ninety-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 241 255 277 340 482 510 554 723 831 964 1020 1108 1205 1385 1446 1662 2410 2770 2892 3324 3615 4097 4155 4709 4820 5540 7230 8194 8310 9418 12291 14127 14460 16388 16620 18836 20485 23545 24582 28254 40970 47090 49164 56508 61455 66757 70635 81940 94180 122910 133514 141270 200271 245820 267028 282540 333785 400542 667570 801084 1001355 1134869 1335140 2002710 2269738 3404607 4005420 4539476 5674345 6809214 11348690 13618428 17023035 22697380 34046070 68092140