[go: up one dir, main page]

Search a number
-
+
120603640 = 23519315119
BaseRepresentation
bin1110011000001…
…00001111111000
322101221022002111
413030010033320
5221333304030
615544542104
72663054053
oct714041770
9271838074
10120603640
1162094333
1234481934
131bca8901
1412035a9a
15a8c462a
hex73043f8

120603640 has 64 divisors (see below), whose sum is σ = 294912000. Its totient is φ = 44219520.

The previous prime is 120603631. The next prime is 120603677. The reversal of 120603640 is 46306021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21001 + ... + 26119.

It is an arithmetic number, because the mean of its divisors is an integer number (4608000).

Almost surely, 2120603640 is an apocalyptic number.

120603640 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 120603640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147456000).

120603640 is an abundant number, since it is smaller than the sum of its proper divisors (174308360).

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

120603640 is a wasteful number, since it uses less digits than its factorization.

120603640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 120603640 is about 10981.9688580873. The cubic root of 120603640 is about 494.0680898567.

Adding to 120603640 its reverse (46306021), we get a palindrome (166909661).

The spelling of 120603640 in words is "one hundred twenty million, six hundred three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 380 589 620 760 1178 1240 2356 2945 4712 5119 5890 10238 11780 20476 23560 25595 40952 51190 97261 102380 158689 194522 204760 317378 389044 486305 634756 778088 793445 972610 1269512 1586890 1945220 3015091 3173780 3890440 6030182 6347560 12060364 15075455 24120728 30150910 60301820 120603640