Search a number
-
+
124661430 = 235529261
BaseRepresentation
bin1110110111000…
…10111010110110
322200120110100000
413123202322312
5223403131210
620211532130
73042414255
oct733427266
9280513300
10124661430
1164405a83
12358ba046
131ca9987a
14127b079c
15ae26ac0
hex76e2eb6

124661430 has 144 divisors (see below), whose sum is σ = 353821104. Its totient is φ = 31570560.

The previous prime is 124661419. The next prime is 124661477. The reversal of 124661430 is 34166421.

124661430 is a `hidden beast` number, since 1 + 2 + 46 + 614 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 124661394 and 124661403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2043600 + ... + 2043660.

It is an arithmetic number, because the mean of its divisors is an integer number (2457091).

Almost surely, 2124661430 is an apocalyptic number.

124661430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 124661430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176910552).

124661430 is an abundant number, since it is smaller than the sum of its proper divisors (229159674).

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

124661430 is an equidigital number, since it uses as much as digits as its factorization.

124661430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 124661430 is about 11165.1883101003. The cubic root of 124661430 is about 499.5481651469.

The spelling of 124661430 in words is "one hundred twenty-four million, six hundred sixty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 61 81 87 90 122 135 145 162 174 183 243 261 270 290 305 366 405 435 486 522 549 610 783 810 841 870 915 1098 1215 1305 1566 1647 1682 1769 1830 2349 2430 2523 2610 2745 3294 3538 3915 4205 4698 4941 5046 5307 5490 7047 7569 7830 8235 8410 8845 9882 10614 11745 12615 14094 14823 15138 15921 16470 17690 22707 23490 24705 25230 26535 29646 31842 35235 37845 45414 47763 49410 51301 53070 68121 70470 74115 75690 79605 95526 102602 113535 136242 143289 148230 153903 159210 204363 227070 238815 256505 286578 307806 340605 408726 429867 461709 477630 513010 681210 716445 769515 859734 923418 1021815 1385127 1432890 1539030 2043630 2149335 2308545 2770254 4155381 4298670 4617090 6925635 8310762 12466143 13851270 20776905 24932286 41553810 62330715 124661430