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123483136 = 2107223107
BaseRepresentation
bin1110101110000…
…11010000000000
322121100121000111
413113003100000
5223102430021
620130401104
73026406100
oct727032000
9277317014
10123483136
1163780787
1235430194
131c77645a
1412585200
15ac928e1
hex75c3400

123483136 has 132 divisors (see below), whose sum is σ = 302431968. Its totient is φ = 50147328.

The previous prime is 123483133. The next prime is 123483161. The reversal of 123483136 is 631384321.

It is a junction number, because it is equal to n+sod(n) for n = 123483098 and 123483107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123483133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1153995 + ... + 1154101.

Almost surely, 2123483136 is an apocalyptic number.

123483136 is a gapful number since it is divisible by the number (16) 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 123483136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151215984).

123483136 is an abundant number, since it is smaller than the sum of its proper divisors (178948832).

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

123483136 is a wasteful number, since it uses less digits than its factorization.

123483136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 139 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 123483136 is about 11112.2966123120. The cubic root of 123483136 is about 497.9692781702.

The spelling of 123483136 in words is "one hundred twenty-three million, four hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 107 112 128 161 184 196 214 224 256 322 368 392 428 448 512 644 736 749 784 856 896 1024 1127 1288 1472 1498 1568 1712 1792 2254 2461 2576 2944 2996 3136 3424 3584 4508 4922 5152 5243 5888 5992 6272 6848 7168 9016 9844 10304 10486 11776 11984 12544 13696 17227 18032 19688 20608 20972 23552 23968 25088 27392 34454 36064 39376 41216 41944 47936 50176 54784 68908 72128 78752 82432 83888 95872 109568 120589 137816 144256 157504 164864 167776 191744 241178 275632 288512 315008 335552 383488 482356 551264 577024 630016 671104 766976 964712 1102528 1154048 1260032 1342208 1929424 2205056 2520064 2684416 3858848 4410112 5368832 7717696 8820224 15435392 17640448 30870784 61741568 123483136