Search a number
-
+
123690930 = 2351131107113
BaseRepresentation
bin1110101111101…
…01111110110010
322121202011001120
413113311332302
5223131102210
620135043110
73031232646
oct727657662
9277664046
10123690930
1163902910
1235510496
131c819bcc
14125dac26
15acd4270
hex75f5fb2

123690930 has 128 divisors (see below), whose sum is σ = 340402176. Its totient is φ = 28492800.

The previous prime is 123690901. The next prime is 123690977. The reversal of 123690930 is 39096321.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 123690891 and 123690900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1094554 + ... + 1094666.

It is an arithmetic number, because the mean of its divisors is an integer number (2659392).

Almost surely, 2123690930 is an apocalyptic number.

123690930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123690930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170201088).

123690930 is an abundant number, since it is smaller than the sum of its proper divisors (216711246).

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

123690930 is a wasteful number, since it uses less digits than its factorization.

123690930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272.

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 123690930 is about 11121.6424146796. The cubic root of 123690930 is about 498.2484446056.

The spelling of 123690930 in words is "one hundred twenty-three million, six hundred ninety thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 107 110 113 155 165 186 214 226 310 321 330 339 341 465 535 565 642 678 682 930 1023 1070 1130 1177 1243 1605 1695 1705 2046 2354 2486 3210 3317 3390 3410 3503 3531 3729 5115 5885 6215 6634 7006 7062 7458 9951 10230 10509 11770 12091 12430 16585 17515 17655 18645 19902 21018 24182 33170 35030 35310 36273 36487 37290 38533 49755 52545 60455 72546 72974 77066 99510 105090 109461 115599 120910 133001 181365 182435 192665 218922 231198 266002 362730 364870 374821 385330 399003 547305 577995 665005 749642 798006 1094610 1124463 1155990 1330010 1874105 1995015 2248926 3748210 3990030 4123031 5622315 8246062 11244630 12369093 20615155 24738186 41230310 61845465 123690930