Search a number
-
+
1153376420 = 225719143133
BaseRepresentation
bin100010010111111…
…0010000010100100
32222101021121000012
41010233302002210
54330231021140
6310240505352
740403352320
oct10457620244
92871247005
101153376420
11542061859
1228231b258
13154c4bb71
14ad274980
156b3cb265
hex44bf20a4

1153376420 has 48 divisors (see below), whose sum is σ = 2782660608. Its totient is φ = 393363840.

The previous prime is 1153376417. The next prime is 1153376443. The reversal of 1153376420 is 246733511.

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, 5174 + ... + 48306.

It is an arithmetic number, because the mean of its divisors is an integer number (57972096).

Almost surely, 21153376420 is an apocalyptic number.

1153376420 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 1153376420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391330304).

1153376420 is an abundant number, since it is smaller than the sum of its proper divisors (1629284188).

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

1153376420 is a wasteful number, since it uses less digits than its factorization.

1153376420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43340 (or 43338 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 1153376420 is about 33961.3960254875. The cubic root of 1153376420 is about 1048.7138962447.

The spelling of 1153376420 in words is "one billion, one hundred fifty-three million, three hundred seventy-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 191 382 764 955 1337 1910 2674 3820 5348 6685 13370 26740 43133 86266 172532 215665 301931 431330 603862 862660 1207724 1509655 3019310 6038620 8238403 16476806 32953612 41192015 57668821 82384030 115337642 164768060 230675284 288344105 576688210 1153376420