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23402106 = 23272132157
BaseRepresentation
bin101100101000…
…1011001111010
31122000221122200
41121101121322
521442331411
62153331030
7402625500
oct131213172
948027580
1023402106
1112234392
127a06a76
134b04b00
143172670
1520c3e56
hex165167a

23402106 has 108 divisors (see below), whose sum is σ = 64275822. Its totient is φ = 6132672.

The previous prime is 23402087. The next prime is 23402107. The reversal of 23402106 is 60120432.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9272025 + 14130081 = 3045^2 + 3759^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

23402106 is a modest number, since divided by 2106 gives 234 as remainder.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (23402107) 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 53 ways as a sum of consecutive naturals, for example, 148980 + ... + 149136.

Almost surely, 223402106 is an apocalyptic number.

23402106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23402106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32137911).

23402106 is an abundant number, since it is smaller than the sum of its proper divisors (40873716).

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

23402106 is a wasteful number, since it uses less digits than its factorization.

23402106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23402106 is about 4837.5723250407. The cubic root of 23402106 is about 286.0344311164.

Adding to 23402106 its reverse (60120432), we get a palindrome (83522538).

The spelling of 23402106 in words is "twenty-three million, four hundred two thousand, one hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 157 169 182 234 273 294 314 338 441 471 507 546 637 819 882 942 1014 1099 1183 1274 1413 1521 1638 1911 2041 2198 2366 2826 3042 3297 3549 3822 4082 5733 6123 6594 7098 7693 8281 9891 10647 11466 12246 14287 15386 16562 18369 19782 21294 23079 24843 26533 28574 36738 42861 46158 49686 53066 69237 74529 79599 85722 100009 128583 138474 149058 159198 185731 200018 238797 257166 300027 371462 477594 557193 600054 900081 1114386 1300117 1671579 1800162 2600234 3343158 3900351 7800702 11701053 23402106