Search a number
-
+
129977544 = 23331414261
BaseRepresentation
bin1111011111101…
…00110011001000
3100001120112200010
413233310303020
5231233240134
620521511520
73135535164
oct757646310
9301515603
10129977544
1167407064
12376425a0
1320c0b4b8
1413395ca4
15b626ce9
hex7bf4cc8

129977544 has 64 divisors (see below), whose sum is σ = 343687680. Its totient is φ = 40896000.

The previous prime is 129977543. The next prime is 129977569. The reversal of 129977544 is 445779921.

It is a junction number, because it is equal to n+sod(n) for n = 129977493 and 129977502.

It is not an unprimeable number, because it can be changed into a prime (129977543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28374 + ... + 32634.

It is an arithmetic number, because the mean of its divisors is an integer number (5370120).

Almost surely, 2129977544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129977544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171843840).

129977544 is an abundant number, since it is smaller than the sum of its proper divisors (213710136).

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

129977544 is a wasteful number, since it uses less digits than its factorization.

129977544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342 (or 4338 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The square root of 129977544 is about 11400.7694477171. The cubic root of 129977544 is about 506.5505316310.

The spelling of 129977544 in words is "one hundred twenty-nine million, nine hundred seventy-seven thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 41 62 82 93 123 124 164 186 246 248 328 372 492 744 984 1271 2542 3813 4261 5084 7626 8522 10168 12783 15252 17044 25566 30504 34088 51132 102264 132091 174701 264182 349402 396273 524103 528364 698804 792546 1048206 1056728 1397608 1585092 2096412 3170184 4192824 5415731 10831462 16247193 21662924 32494386 43325848 64988772 129977544