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113067024 = 24371989199
BaseRepresentation
bin1101011110101…
…00010000010000
321212202101210120
412233110100100
5212421121044
615115230240
72542024320
oct657242020
9255671716
10113067024
1158906a24
1231a48380
131a56a385
1411033280
159dd6519
hex6bd4410

113067024 has 160 divisors (see below), whose sum is σ = 357120000. Its totient is φ = 30108672.

The previous prime is 113067023. The next prime is 113067029. The reversal of 113067024 is 420760311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 113066985 and 113067003.

It is not an unprimeable number, because it can be changed into a prime (113067023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568077 + ... + 568275.

It is an arithmetic number, because the mean of its divisors is an integer number (2232000).

Almost surely, 2113067024 is an apocalyptic number.

113067024 is a gapful number since it is divisible by the number (14) 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 113067024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560000).

113067024 is an abundant number, since it is smaller than the sum of its proper divisors (244052976).

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

113067024 is a wasteful number, since it uses less digits than its factorization.

113067024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 113067024 is about 10633.2978891781. The cubic root of 113067024 is about 483.5543789031.

The spelling of 113067024 in words is "one hundred thirteen million, sixty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 89 112 114 133 152 168 178 199 228 266 267 304 336 356 398 399 456 532 534 597 623 712 796 798 912 1064 1068 1194 1246 1393 1424 1592 1596 1691 1869 2128 2136 2388 2492 2786 3184 3192 3382 3738 3781 4179 4272 4776 4984 5073 5572 6384 6764 7476 7562 8358 9552 9968 10146 11144 11343 11837 13528 14952 15124 16716 17711 20292 22288 22686 23674 26467 27056 29904 30248 33432 35422 35511 40584 45372 47348 52934 53133 60496 66864 70844 71022 79401 81168 90744 94696 105868 106266 123977 141688 142044 158802 181488 189392 211736 212532 247954 283376 284088 317604 336509 371931 423472 425064 495908 568176 635208 673018 743862 850128 991816 1009527 1270416 1346036 1487724 1983632 2019054 2355563 2692072 2975448 4038108 4711126 5384144 5950896 7066689 8076216 9422252 14133378 16152432 18844504 28266756 37689008 56533512 113067024