Search a number
-
+
129402 = 23271379
BaseRepresentation
bin11111100101111010
320120111200
4133211322
513120102
62435030
71046160
oct374572
9216450
10129402
1189249
1262a76
1346b90
1435230
152851c
hex1f97a

129402 has 48 divisors (see below), whose sum is σ = 349440. Its totient is φ = 33696.

The previous prime is 129401. The next prime is 129403. The reversal of 129402 is 204921.

129402 = T13 + T14 + ... + T91.

129402 = 542 + 552 + ... + 812.

It is an interprime number because it is at equal distance from previous prime (129401) and next prime (129403).

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

It is not an unprimeable number, because it can be changed into a prime (129401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1599 + ... + 1677.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2129402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174720).

129402 is an abundant number, since it is smaller than the sum of its proper divisors (220038).

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

129402 is a wasteful number, since it uses less digits than its factorization.

129402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 129402 is about 359.7248948850. The cubic root of 129402 is about 50.5801752289.

It can be divided in two parts, 1 and 29402, that added together give a triangular number (29403 = T242).

The spelling of 129402 in words is "one hundred twenty-nine thousand, four hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 79 91 117 126 158 182 234 237 273 474 546 553 711 819 1027 1106 1422 1638 1659 2054 3081 3318 4977 6162 7189 9243 9954 14378 18486 21567 43134 64701 129402