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1131609456 = 243219933943
BaseRepresentation
bin100001101110010…
…1111110101110000
32220212022201100100
41003130233311300
54304143000311
6304142152400
740020343635
oct10334576560
92825281310
101131609456
11530844a2a
12276b82700
1315059a3c3
14aa40a18c
156952ba56
hex4372fd70

1131609456 has 60 divisors (see below), whose sum is σ = 3169327408. Its totient is φ = 376918272.

The previous prime is 1131609433. The next prime is 1131609473. The reversal of 1131609456 is 6549061311.

1131609456 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 609 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1131609456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285021 + ... + 288963.

Almost surely, 21131609456 is an apocalyptic number.

1131609456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1131609456 is an abundant number, since it is smaller than the sum of its proper divisors (2037717952).

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

1131609456 is a wasteful number, since it uses less digits than its factorization.

1131609456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5950 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1131609456 is about 33639.4033240781. The cubic root of 1131609456 is about 1042.0747094678.

The spelling of 1131609456 in words is "one billion, one hundred thirty-one million, six hundred nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1993 3943 3986 5979 7886 7972 11829 11958 15772 15944 17937 23658 23916 31544 31888 35487 35874 47316 47832 63088 70974 71748 94632 95664 141948 143496 189264 283896 286992 567792 7858399 15716798 23575197 31433596 47150394 62867192 70725591 94300788 125734384 141451182 188601576 282902364 377203152 565804728 1131609456