Search a number
-
+
1242608640 = 210357213127
BaseRepresentation
bin100101000010000…
…1011010000000000
310012121012001121020
41022010023100000
510021101434030
6323145225440
742535666500
oct11204132000
93177161536
101242608640
11588469299
122a8192280
1316a5924b0
14bb061a00
1574155510
hex4a10b400

1242608640 has 528 divisors, whose sum is σ = 5018130432. Its totient is φ = 260112384.

The previous prime is 1242608593. The next prime is 1242608651. The reversal of 1242608640 is 468062421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9784257 + ... + 9784383.

Almost surely, 21242608640 is an apocalyptic number.

1242608640 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 1242608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509065216).

1242608640 is an abundant number, since it is smaller than the sum of its proper divisors (3775521792).

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

1242608640 is a wasteful number, since it uses less digits than its factorization.

1242608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1242608640 is about 35250.6544620096. The cubic root of 1242608640 is about 1075.0899192857.

The spelling of 1242608640 in words is "one billion, two hundred forty-two million, six hundred eight thousand, six hundred forty".