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1151807040 = 26345371201
BaseRepresentation
bin100010010100111…
…0010111001000000
32222021022212020000
41010221302321000
54324330311130
6310143120000
740354125006
oct10451627100
92867285200
101151807040
1154118a74a
122818a3000
1315481c737
14acd86a76
156b1bb260
hex44a72e40

1151807040 has 280 divisors, whose sum is σ = 4211418552. Its totient is φ = 298598400.

The previous prime is 1151807039. The next prime is 1151807047. The reversal of 1151807040 is 407081511.

It can be written as a sum of positive squares in 4 ways, for example, as 35712576 + 1116094464 = 5976^2 + 33408^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1151806995 and 1151807013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151807047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 958440 + ... + 959640.

Almost surely, 21151807040 is an apocalyptic number.

1151807040 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 1151807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105709276).

1151807040 is an abundant number, since it is smaller than the sum of its proper divisors (3059611512).

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

1151807040 is a wasteful number, since it uses less digits than its factorization.

1151807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 1151807040 is about 33938.2828086514. The cubic root of 1151807040 is about 1048.2380245242.

Adding to 1151807040 its reverse (407081511), we get a palindrome (1558888551).

It can be divided in two parts, 1 and 151807040, that added together give a 4-th power (151807041 = 1114).

The spelling of 1151807040 in words is "one billion, one hundred fifty-one million, eight hundred seven thousand, forty".