Search a number
-
+
123031920 = 243511291607
BaseRepresentation
bin1110101010101…
…01000101110000
322120111200001210
413111111011300
5222444010140
620113000120
73022516434
oct725250560
9276450053
10123031920
11634a2780
1235253040
131c648c6b
14124a89c4
15ac03d80
hex7555170

123031920 has 160 divisors (see below), whose sum is σ = 430686720. Its totient is φ = 28779520.

The previous prime is 123031913. The next prime is 123031927. The reversal of 123031920 is 29130321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123031913) and next prime (123031927).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123031927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75757 + ... + 77363.

It is an arithmetic number, because the mean of its divisors is an integer number (2691792).

Almost surely, 2123031920 is an apocalyptic number.

123031920 is a gapful number since it is divisible by the number (10) 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 123031920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215343360).

123031920 is an abundant number, since it is smaller than the sum of its proper divisors (307654800).

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

123031920 is a wasteful number, since it uses less digits than its factorization.

123031920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 123031920 is about 11091.9754777947. The cubic root of 123031920 is about 497.3619997197.

The spelling of 123031920 in words is "one hundred twenty-three million, thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 870 880 957 1160 1276 1320 1392 1595 1607 1740 1914 2320 2552 2640 3190 3214 3480 3828 4785 4821 5104 6380 6428 6960 7656 8035 9570 9642 12760 12856 15312 16070 17677 19140 19284 24105 25520 25712 32140 35354 38280 38568 46603 48210 53031 64280 70708 76560 77136 88385 93206 96420 106062 128560 139809 141416 176770 186412 192840 212124 233015 265155 279618 282832 353540 372824 385680 424248 466030 512633 530310 559236 699045 707080 745648 848496 932060 1025266 1060620 1118472 1398090 1414160 1537899 1864120 2050532 2121240 2236944 2563165 2796180 3075798 3728240 4101064 4242480 5126330 5592360 6151596 7689495 8202128 10252660 11184720 12303192 15378990 20505320 24606384 30757980 41010640 61515960 123031920