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1131079272 = 2331912719531
BaseRepresentation
bin100001101101010…
…1110011001101000
32220211022210001220
41003122232121220
54304024014042
6304122542040
740013005131
oct10332563150
92824283056
101131079272
11530512664
12276967920
13150442c9b
14aa30cc88
15694748ec
hex436ae668

1131079272 has 64 divisors (see below), whose sum is σ = 3000115200. Its totient is φ = 354352320.

The previous prime is 1131079249. The next prime is 1131079273. The reversal of 1131079272 is 2729701311.

It is not an unprimeable number, because it can be changed into a prime (1131079273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48147 + ... + 67677.

It is an arithmetic number, because the mean of its divisors is an integer number (46876800).

Almost surely, 21131079272 is an apocalyptic number.

1131079272 is a gapful number since it is divisible by the number (12) 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 1131079272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500057600).

1131079272 is an abundant number, since it is smaller than the sum of its proper divisors (1869035928).

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

1131079272 is a wasteful number, since it uses less digits than its factorization.

1131079272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19686 (or 19682 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 1131079272 is about 33631.5219994576. The cubic root of 1131079272 is about 1041.9119390461.

The spelling of 1131079272 in words is "one billion, one hundred thirty-one million, seventy-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 127 152 228 254 381 456 508 762 1016 1524 2413 3048 4826 7239 9652 14478 19304 19531 28956 39062 57912 58593 78124 117186 156248 234372 371089 468744 742178 1113267 1484356 2226534 2480437 2968712 4453068 4960874 7441311 8906136 9921748 14882622 19843496 29765244 47128303 59530488 94256606 141384909 188513212 282769818 377026424 565539636 1131079272