Search a number
-
+
120153936 = 2437541661
BaseRepresentation
bin1110010100101…
…10011101010000
322101002110012210
413022112131100
5221224411221
615531152120
72656202010
oct712263520
9271073183
10120153936
1161907481
12342a5640
131bb7c006
1411d59c40
15a836276
hex7296750

120153936 has 80 divisors (see below), whose sum is σ = 355933568. Its totient is φ = 34214400.

The previous prime is 120153919. The next prime is 120153937. The reversal of 120153936 is 639351021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120153937) by changing a digit.

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, 181446 + ... + 182106.

Almost surely, 2120153936 is an apocalyptic number.

120153936 is a gapful number since it is divisible by the number (16) 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 120153936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177966784).

120153936 is an abundant number, since it is smaller than the sum of its proper divisors (235779632).

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

120153936 is a wasteful number, since it uses less digits than its factorization.

120153936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 120153936 is about 10961.4750832176. The cubic root of 120153936 is about 493.4532352016.

It can be divided in two parts, 12015 and 3936, that added together give a palindrome (15951).

The spelling of 120153936 in words is "one hundred twenty million, one hundred fifty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 541 661 1082 1322 1623 1983 2164 2644 3246 3787 3966 4328 4627 5288 6492 7574 7932 8656 9254 10576 11361 12984 13881 15148 15864 18508 22722 25968 27762 30296 31728 37016 45444 55524 60592 74032 90888 111048 181776 222096 357601 715202 1072803 1430404 2145606 2503207 2860808 4291212 5006414 5721616 7509621 8582424 10012828 15019242 17164848 20025656 30038484 40051312 60076968 120153936