Search a number
-
+
124014198 = 237211311237
BaseRepresentation
bin1110110010001…
…00111001110110
322122100120111110
413121010321312
5223221423243
620150015450
73034050300
oct731047166
9278316443
10124014198
1164003780
1235647586
131c9010a9
1412682970
15ad49e33
hex7644e76

124014198 has 96 divisors (see below), whose sum is σ = 325168128. Its totient is φ = 31147200.

The previous prime is 124014169. The next prime is 124014203. The reversal of 124014198 is 891410421.

It is a congruent number.

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, 99636 + ... + 100872.

It is an arithmetic number, because the mean of its divisors is an integer number (3387168).

Almost surely, 2124014198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124014198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162584064).

124014198 is an abundant number, since it is smaller than the sum of its proper divisors (201153930).

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

124014198 is a wasteful number, since it uses less digits than its factorization.

124014198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 124014198 is about 11136.1662164319. The cubic root of 124014198 is about 498.6821268056.

The spelling of 124014198 in words is "one hundred twenty-four million, fourteen thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 49 62 66 77 93 98 147 154 186 217 231 294 341 434 462 539 651 682 1023 1078 1237 1302 1519 1617 2046 2387 2474 3038 3234 3711 4557 4774 7161 7422 8659 9114 13607 14322 16709 17318 25977 27214 33418 38347 40821 50127 51954 60613 76694 81642 95249 100254 115041 121226 181839 190498 230082 268429 285747 363678 421817 536858 571494 666743 805287 843634 1265451 1333486 1610574 1879003 2000229 2530902 2952719 3758006 4000458 5637009 5905438 8858157 11274018 17716314 20669033 41338066 62007099 124014198