Search a number
-
+
1002117152 = 251910116319
BaseRepresentation
bin111011101110110…
…001100000100000
32120211122211022002
4323232301200200
54023020222102
6243234503132
733555566231
oct7356614040
92524584262
101002117152
1147473a4a3
1223b734aa8
1312c7cba3a
149713d088
155ce9d902
hex3bbb1820

1002117152 has 48 divisors (see below), whose sum is σ = 2097446400. Its totient is φ = 469958400.

The previous prime is 1002117113. The next prime is 1002117157. The reversal of 1002117152 is 2517112001.

It is a happy number.

It is a super-2 number, since 2×10021171522 = 2008477572665182208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002117157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53249 + ... + 69567.

It is an arithmetic number, because the mean of its divisors is an integer number (43696800).

Almost surely, 21002117152 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 1002117152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048723200).

1002117152 is an abundant number, since it is smaller than the sum of its proper divisors (1095329248).

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

1002117152 is a wasteful number, since it uses less digits than its factorization.

1002117152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16449 (or 16441 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 1002117152 is about 31656.2340148035. The cubic root of 1002117152 is about 1000.7052198813.

Adding to 1002117152 its reverse (2517112001), we get a palindrome (3519229153).

The spelling of 1002117152 in words is "one billion, two million, one hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 76 101 152 202 304 404 608 808 1616 1919 3232 3838 7676 15352 16319 30704 32638 61408 65276 130552 261104 310061 522208 620122 1240244 1648219 2480488 3296438 4960976 6592876 9921952 13185752 26371504 31316161 52743008 62632322 125264644 250529288 501058576 1002117152