Search a number
-
+
120245632 = 2713127569
BaseRepresentation
bin1110010101011…
…00110110000000
322101021002222221
413022230312000
5221240330012
615533140424
72660033233
oct712546600
9271232887
10120245632
116196a361
123432a714
131bbb1980
1411d8141a
15a853507
hex72acd80

120245632 has 64 divisors (see below), whose sum is σ = 260467200. Its totient is φ = 54964224.

The previous prime is 120245627. The next prime is 120245677. The reversal of 120245632 is 236542021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120245597 and 120245606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211044 + ... + 211612.

It is an arithmetic number, because the mean of its divisors is an integer number (4069800).

Almost surely, 2120245632 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 120245632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130233600).

120245632 is an abundant number, since it is smaller than the sum of its proper divisors (140221568).

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

120245632 is a wasteful number, since it uses less digits than its factorization.

120245632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 120245632 is about 10965.6569342653. The cubic root of 120245632 is about 493.5787302788.

Adding to 120245632 its reverse (236542021), we get a palindrome (356787653).

The spelling of 120245632 in words is "one hundred twenty million, two hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 208 254 416 508 569 832 1016 1138 1651 1664 2032 2276 3302 4064 4552 6604 7397 8128 9104 13208 14794 16256 18208 26416 29588 36416 52832 59176 72263 72832 105664 118352 144526 211328 236704 289052 473408 578104 939419 946816 1156208 1878838 2312416 3757676 4624832 7515352 9249664 15030704 30061408 60122816 120245632