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124132140 = 223251171883
BaseRepresentation
bin1110110011000…
…01101100101100
322122120120021200
413121201230230
5223234212030
620152325500
73035051166
oct731415454
9278516250
10124132140
1164084350
12356a3890
131c942992
14126b3936
15ad6ed60
hex7661b2c

124132140 has 144 divisors (see below), whose sum is σ = 417021696. Its totient is φ = 29635200.

The previous prime is 124132121. The next prime is 124132157. The reversal of 124132140 is 41231421.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140139 + ... + 141021.

It is an arithmetic number, because the mean of its divisors is an integer number (2895984).

Almost surely, 2124132140 is an apocalyptic number.

124132140 is a gapful number since it is divisible by the number (10) 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 124132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208510848).

124132140 is an abundant number, since it is smaller than the sum of its proper divisors (292889556).

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

124132140 is a wasteful number, since it uses less digits than its factorization.

124132140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 124132140 is about 11141.4604069664. The cubic root of 124132140 is about 498.8401649791.

Adding to 124132140 its reverse (41231421), we get a palindrome (165363561).

The spelling of 124132140 in words is "one hundred twenty-four million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 71 90 99 110 132 142 165 180 198 213 220 284 330 355 396 426 495 639 660 710 781 852 883 990 1065 1278 1420 1562 1766 1980 2130 2343 2556 2649 3124 3195 3532 3905 4260 4415 4686 5298 6390 7029 7810 7947 8830 9372 9713 10596 11715 12780 13245 14058 15620 15894 17660 19426 23430 26490 28116 29139 31788 35145 38852 39735 46860 48565 52980 58278 62693 70290 79470 87417 97130 116556 125386 140580 145695 158940 174834 188079 194260 250772 291390 313465 349668 376158 437085 564237 582780 626930 689623 752316 874170 940395 1128474 1253860 1379246 1748340 1880790 2068869 2256948 2758492 2821185 3448115 3761580 4137738 5642370 6206607 6896230 8275476 10344345 11284740 12413214 13792460 20688690 24826428 31033035 41377380 62066070 124132140