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1149747840 = 273253147137
BaseRepresentation
bin100010010000111…
…1100001010000000
32222010110020112100
41010201330022000
54323313412330
6310031030400
740330460343
oct10441741200
92863406470
101149747840
1154000362a
1228106b400
1315427b387
14ac9ac45a
156ae11060
hex4487c280

1149747840 has 384 divisors, whose sum is σ = 4216043520. Its totient is φ = 288276480.

The previous prime is 1149747827. The next prime is 1149747847. The reversal of 1149747840 is 487479411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1149747847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8392252 + ... + 8392388.

It is an arithmetic number, because the mean of its divisors is an integer number (10979280).

Almost surely, 21149747840 is an apocalyptic number.

1149747840 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 1149747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108021760).

1149747840 is an abundant number, since it is smaller than the sum of its proper divisors (3066295680).

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

1149747840 is a wasteful number, since it uses less digits than its factorization.

1149747840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 1149747840 is about 33907.9318154322. The cubic root of 1149747840 is about 1047.6129720965.

The spelling of 1149747840 in words is "one billion, one hundred forty-nine million, seven hundred forty-seven thousand, eight hundred forty".