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124142928 = 24371397293
BaseRepresentation
bin1110110011001…
…00010101010000
322122121010002020
413121210111100
5223240033203
620152451440
73035124510
oct731442520
9278533066
10124142928
1164091468
12356a9b80
131c947870
14126b7840
15ad73153
hex7664550

124142928 has 160 divisors (see below), whose sum is σ = 400141056. Its totient is φ = 32292864.

The previous prime is 124142927. The next prime is 124142929. The reversal of 124142928 is 829241421.

It is an interprime number because it is at equal distance from previous prime (124142927) and next prime (124142929).

It is a super-2 number, since 2×1241429282 = 30822933144826368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124142923) 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, 423550 + ... + 423842.

Almost surely, 2124142928 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 124142928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200070528).

124142928 is an abundant number, since it is smaller than the sum of its proper divisors (275998128).

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

124142928 is a wasteful number, since it uses less digits than its factorization.

124142928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 124142928 is about 11141.9445340569. The cubic root of 124142928 is about 498.8546155257.

The spelling of 124142928 in words is "one hundred twenty-four million, one hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 97 104 112 156 168 182 194 208 273 291 293 312 336 364 388 546 582 586 624 679 728 776 879 1092 1164 1172 1261 1358 1456 1552 1758 2037 2051 2184 2328 2344 2522 2716 3516 3783 3809 4074 4102 4368 4656 4688 5044 5432 6153 7032 7566 7618 8148 8204 8827 10088 10864 11427 12306 14064 15132 15236 16296 16408 17654 20176 22854 24612 26481 26663 28421 30264 30472 32592 32816 35308 45708 49224 52962 53326 56842 60528 60944 70616 79989 85263 91416 98448 105924 106652 113684 141232 159978 170526 182832 198947 211848 213304 227368 319956 341052 369473 397894 423696 426608 454736 596841 639912 682104 738946 795788 1108419 1193682 1279824 1364208 1477892 1591576 2216838 2387364 2586311 2955784 3183152 4433676 4774728 5172622 5911568 7758933 8867352 9549456 10345244 15517866 17734704 20690488 31035732 41380976 62071464 124142928