Search a number
-
+
129645440 = 2751671213
BaseRepresentation
bin1111011101000…
…11101110000000
3100000221200002222
413232203232000
5231142123230
620510430212
73132653021
oct756435600
9300850088
10129645440
11671aa5a1
1237502368
1320b232a2
141330ac48
15b5ad6e5
hex7ba3b80

129645440 has 64 divisors (see below), whose sum is σ = 312046560. Its totient is φ = 51505152.

The previous prime is 129645437. The next prime is 129645443. The reversal of 129645440 is 44546921.

It is an interprime number because it is at equal distance from previous prime (129645437) and next prime (129645443).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1296454402 = 33615880225587200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 129645440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129645443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106274 + ... + 107486.

Almost surely, 2129645440 is an apocalyptic number.

129645440 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 129645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156023280).

129645440 is an abundant number, since it is smaller than the sum of its proper divisors (182401120).

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

129645440 is a wasteful number, since it uses less digits than its factorization.

129645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 129645440 is about 11386.1951502686. The cubic root of 129645440 is about 506.1187366841.

The spelling of 129645440 in words is "one hundred twenty-nine million, six hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 167 320 334 640 668 835 1213 1336 1670 2426 2672 3340 4852 5344 6065 6680 9704 10688 12130 13360 19408 21376 24260 26720 38816 48520 53440 77632 97040 106880 155264 194080 202571 388160 405142 776320 810284 1012855 1620568 2025710 3241136 4051420 6482272 8102840 12964544 16205680 25929088 32411360 64822720 129645440