Search a number
-
+
1002132240 = 24354175551
BaseRepresentation
bin111011101110110…
…101001100010000
32120211200120222220
4323232311030100
54023021212430
6243235101040
733555661224
oct7356651420
92524616886
101002132240
1147474a86a
1223b741780
1312c805875
1497144784
155cea3110
hex3bbb5310

1002132240 has 40 divisors (see below), whose sum is σ = 3106610688. Its totient is φ = 267235200.

The previous prime is 1002132227. The next prime is 1002132253. The reversal of 1002132240 is 422312001.

It is an interprime number because it is at equal distance from previous prime (1002132227) and next prime (1002132253).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2087536 + ... + 2088015.

Almost surely, 21002132240 is an apocalyptic number.

1002132240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002132240 is an abundant number, since it is smaller than the sum of its proper divisors (2104478448).

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

1002132240 is a wasteful number, since it uses less digits than its factorization.

1002132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175567 (or 4175561 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1002132240 is about 31656.4723239972. The cubic root of 1002132240 is about 1000.7102421034.

Adding to 1002132240 its reverse (422312001), we get a palindrome (1424444241).

The spelling of 1002132240 in words is "one billion, two million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4175551 8351102 12526653 16702204 20877755 25053306 33404408 41755510 50106612 62633265 66808816 83511020 100213224 125266530 167022040 200426448 250533060 334044080 501066120 1002132240