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1131312440 = 235194613229
BaseRepresentation
bin100001101101110…
…0111010100111000
32220211202121220202
41003123213110320
54304103444230
6304131541332
740014665666
oct10333472470
92824677822
101131312440
11530661865
12276a5a848
131504c515b
14aa36dc36
15694bda45
hex436e7538

1131312440 has 64 divisors (see below), whose sum is σ = 2686068000. Its totient is φ = 427645440.

The previous prime is 1131312437. The next prime is 1131312473. The reversal of 1131312440 is 442131311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348746 + ... + 351974.

Almost surely, 21131312440 is an apocalyptic number.

1131312440 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 1131312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343034000).

1131312440 is an abundant number, since it is smaller than the sum of its proper divisors (1554755560).

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

1131312440 is a wasteful number, since it uses less digits than its factorization.

1131312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1131312440 is about 33634.9883306060. The cubic root of 1131312440 is about 1041.9835296166.

Adding to 1131312440 its reverse (442131311), we get a palindrome (1573443751).

The spelling of 1131312440 in words is "one billion, one hundred thirty-one million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 461 760 922 1844 2305 3229 3688 4610 6458 8759 9220 12916 16145 17518 18440 25832 32290 35036 43795 61351 64580 70072 87590 122702 129160 175180 245404 306755 350360 490808 613510 1227020 1488569 2454040 2977138 5954276 7442845 11908552 14885690 28282811 29771380 56565622 59542760 113131244 141414055 226262488 282828110 565656220 1131312440