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129480 = 23351383
BaseRepresentation
bin11111100111001000
320120121120
4133213020
513120410
62435240
71046331
oct374710
9216546
10129480
118930a
1262b20
1346c20
1435288
1528570
hex1f9c8

129480 has 64 divisors (see below), whose sum is σ = 423360. Its totient is φ = 31488.

The previous prime is 129469. The next prime is 129491. The reversal of 129480 is 84921.

129480 = T12 + T13 + ... + T91.

It is an interprime number because it is at equal distance from previous prime (129469) and next prime (129491).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 129480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1519 + ... + 1601.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2129480 is an apocalyptic number.

129480 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 129480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

129480 is an abundant number, since it is smaller than the sum of its proper divisors (293880).

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

129480 is a wasteful number, since it uses less digits than its factorization.

129480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 129480 is about 359.8332947352. The cubic root of 129480 is about 50.5903359715.

The spelling of 129480 in words is "one hundred twenty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 83 104 120 130 156 166 195 249 260 312 332 390 415 498 520 664 780 830 996 1079 1245 1560 1660 1992 2158 2490 3237 3320 4316 4980 5395 6474 8632 9960 10790 12948 16185 21580 25896 32370 43160 64740 129480