Search a number
-
+
129157470 = 233513311187
BaseRepresentation
bin1111011001011…
…00100101011110
3100000000212202000
413230230211132
5231031014340
620452143130
73125551251
oct754544536
9300025660
10129157470
11669a6a12
1237307aa6
13209b2150
1413221098
15b513d30
hex7b2c95e

129157470 has 128 divisors (see below), whose sum is σ = 383201280. Its totient is φ = 30741120.

The previous prime is 129157433. The next prime is 129157471. The reversal of 129157470 is 74751921.

It is a happy number.

129157470 is a `hidden beast` number, since 12 + 9 + 1 + 574 + 70 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129157471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108217 + ... + 109403.

It is an arithmetic number, because the mean of its divisors is an integer number (2993760).

Almost surely, 2129157470 is an apocalyptic number.

129157470 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 129157470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191600640).

129157470 is an abundant number, since it is smaller than the sum of its proper divisors (254043810).

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

129157470 is a wasteful number, since it uses less digits than its factorization.

129157470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 129157470 is about 11364.7468075624. The cubic root of 129157470 is about 505.4829481168.

The spelling of 129157470 in words is "one hundred twenty-nine million, one hundred fifty-seven thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 31 39 45 54 62 65 78 90 93 117 130 135 155 186 195 234 270 279 310 351 390 403 465 558 585 702 806 837 930 1170 1187 1209 1395 1674 1755 2015 2374 2418 2790 3510 3561 3627 4030 4185 5935 6045 7122 7254 8370 10683 10881 11870 12090 15431 17805 18135 21366 21762 30862 32049 35610 36270 36797 46293 53415 54405 64098 73594 77155 92586 106830 108810 110391 138879 154310 160245 183985 220782 231465 277758 320490 331173 367970 416637 462930 478361 551955 662346 694395 833274 956722 993519 1103910 1388790 1435083 1655865 1987038 2083185 2391805 2870166 3311730 4166370 4305249 4783610 4967595 7175415 8610498 9935190 12915747 14350830 21526245 25831494 43052490 64578735 129157470