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1131916680 = 23345349357
BaseRepresentation
bin100001101110111…
…1010110110001000
32220212220022210000
41003131322312020
54304232313210
6304152523000
740023063426
oct10335726610
92825808700
101131916680
11530a34834
122770b0460
131506771ab
14aa48a116
156958cac0
hex4377ad88

1131916680 has 80 divisors (see below), whose sum is σ = 3804508620. Its totient is φ = 301843584.

The previous prime is 1131916679. The next prime is 1131916699. The reversal of 1131916680 is 866191311.

It is a happy number.

1131916680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1124529156 + 7387524 = 33534^2 + 2718^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 171439 + ... + 177918.

Almost surely, 21131916680 is an apocalyptic number.

1131916680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131916680 is an abundant number, since it is smaller than the sum of its proper divisors (2672591940).

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

1131916680 is a wasteful number, since it uses less digits than its factorization.

1131916680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349380 (or 349367 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1131916680 is about 33643.9694447608. The cubic root of 1131916680 is about 1042.1690062502.

The spelling of 1131916680 in words is "one billion, one hundred thirty-one million, nine hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 349357 698714 1048071 1397428 1746785 2096142 2794856 3144213 3493570 4192284 5240355 6288426 6987140 8384568 9432639 10480710 12576852 13974280 15721065 18865278 20961420 25153704 28297917 31442130 37730556 41922840 47163195 56595834 62884260 75461112 94326390 113191668 125768520 141489585 188652780 226383336 282979170 377305560 565958340 1131916680