Search a number
-
+
102491136 = 2103311337
BaseRepresentation
bin1100001101111…
…10010000000000
321010212002102000
412012332100000
5202214204021
614100424000
72353105656
oct606762000
9233762360
10102491136
1152943120
122a3a8000
1318306657
14d87cdd6
158ee7b26
hex61be400

102491136 has 176 divisors, whose sum is σ = 332105280. Its totient is φ = 30965760.

The previous prime is 102491131. The next prime is 102491141. The reversal of 102491136 is 631194201.

It is an interprime number because it is at equal distance from previous prime (102491131) and next prime (102491141).

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102491131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303960 + ... + 304296.

Almost surely, 2102491136 is an apocalyptic number.

102491136 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 102491136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166052640).

102491136 is an abundant number, since it is smaller than the sum of its proper divisors (229614144).

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

102491136 is a wasteful number, since it uses less digits than its factorization.

102491136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 102491136 is about 10123.7905944365. The cubic root of 102491136 is about 467.9815903343.

The spelling of 102491136 in words is "one hundred two million, four hundred ninety-one thousand, one hundred thirty-six".