Search a number
-
+
1060241952 = 253711197549
BaseRepresentation
bin111111001100100…
…000001000100000
32201220000212112110
4333030200020200
54132410220302
6253112355320
735162623260
oct7714401040
92656025473
101060241952
114a452a520
122570a5b40
1313b870303
14a0b4d7a0
1563130b6c
hex3f320220

1060241952 has 192 divisors, whose sum is σ = 3652992000. Its totient is φ = 260858880.

The previous prime is 1060241939. The next prime is 1060241953. The reversal of 1060241952 is 2591420601.

It is a super-2 number, since 2×10602419522 = 2248225993561540608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1060241953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136674 + ... + 144222.

It is an arithmetic number, because the mean of its divisors is an integer number (19026000).

Almost surely, 21060241952 is an apocalyptic number.

1060241952 is a gapful number since it is divisible by the number (12) 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 1060241952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826496000).

1060241952 is an abundant number, since it is smaller than the sum of its proper divisors (2592750048).

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

1060241952 is a wasteful number, since it uses less digits than its factorization.

1060241952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7599 (or 7591 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1060241952 is about 32561.3567284903. The cubic root of 1060241952 is about 1019.6903943071.

The spelling of 1060241952 in words is "one billion, sixty million, two hundred forty-one thousand, nine hundred fifty-two".