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1131564120 = 233523409987
BaseRepresentation
bin100001101110010…
…0100110001011000
32220212020102011020
41003130210301120
54304140022440
6304141202440
740020064521
oct10334446130
92825212136
101131564120
11530813965
12276b60420
1315058288b
14aa3d7848
156951d3d0
hex43724c58

1131564120 has 64 divisors (see below), whose sum is σ = 3542296320. Its totient is φ = 288630144.

The previous prime is 1131564107. The next prime is 1131564169. The reversal of 1131564120 is 214651311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202234 + ... + 207753.

It is an arithmetic number, because the mean of its divisors is an integer number (55348380).

Almost surely, 21131564120 is an apocalyptic number.

1131564120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131564120 is an abundant number, since it is smaller than the sum of its proper divisors (2410732200).

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

1131564120 is a wasteful number, since it uses less digits than its factorization.

1131564120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410024 (or 410020 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1131564120 is about 33638.7294647108. The cubic root of 1131564120 is about 1042.0607929675.

The spelling of 1131564120 in words is "one billion, one hundred thirty-one million, five hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 409987 819974 1229961 1639948 2049935 2459922 3279896 4099870 4919844 6149805 8199740 9429701 9839688 12299610 16399480 18859402 24599220 28289103 37718804 47148505 49198440 56578206 75437608 94297010 113156412 141445515 188594020 226312824 282891030 377188040 565782060 1131564120