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123106620 = 223572133221
BaseRepresentation
bin1110101011001…
…11010100111100
322120122110112110
413111213110330
5223003402440
620114334020
73023250300
oct725472474
9276573473
10123106620
116354390a
123528a310
131c673c70
14124c7d00
15ac1b080
hex756753c

123106620 has 144 divisors (see below), whose sum is σ = 431954208. Its totient is φ = 25966080.

The previous prime is 123106591. The next prime is 123106637. The reversal of 123106620 is 26601321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 36610 + ... + 39830.

It is an arithmetic number, because the mean of its divisors is an integer number (2999682).

Almost surely, 2123106620 is an apocalyptic number.

123106620 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 123106620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215977104).

123106620 is an abundant number, since it is smaller than the sum of its proper divisors (308847588).

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

123106620 is a wasteful number, since it uses less digits than its factorization.

123106620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 123106620 is about 11095.3422660141. The cubic root of 123106620 is about 497.4626387101.

Adding to 123106620 its reverse (26601321), we get a palindrome (149707941).

The spelling of 123106620 in words is "one hundred twenty-three million, one hundred six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3221 3822 5460 6370 6442 7644 9555 9663 12740 12884 16105 19110 19326 22547 32210 38220 38652 41873 45094 48315 64420 67641 83746 90188 96630 112735 125619 135282 157829 167492 193260 209365 225470 251238 270564 293111 315658 338205 418730 450940 473487 502476 586222 628095 631316 676410 789145 837460 879333 946974 1172444 1256190 1352820 1465555 1578290 1758666 1893948 2051777 2367435 2512380 2931110 3156580 3517332 4103554 4396665 4734870 5862220 6155331 8207108 8793330 9469740 10258885 12310662 17586660 20517770 24621324 30776655 41035540 61553310 123106620