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1131293152 = 251117971949
BaseRepresentation
bin100001101101110…
…0010100111100000
32220211201122110101
41003123202213200
54304102340102
6304131312144
740014555523
oct10333424740
92824648411
101131293152
11530649320
12276a4b654
131504b9442
14aa366bba
15694b7e87
hex436e29e0

1131293152 has 96 divisors (see below), whose sum is σ = 2600488800. Its totient is φ = 478740480.

The previous prime is 1131293147. The next prime is 1131293153. The reversal of 1131293152 is 2513921311.

It is a self number, because there is not a number n which added to its sum of digits gives 1131293152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131293153) 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, 579474 + ... + 581422.

It is an arithmetic number, because the mean of its divisors is an integer number (27088425).

Almost surely, 21131293152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131293152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300244400).

1131293152 is an abundant number, since it is smaller than the sum of its proper divisors (1469195648).

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

1131293152 is a wasteful number, since it uses less digits than its factorization.

1131293152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2076 counting only the distinct ones).

The product of its digits is 1620, while the sum is 28.

The square root of 1131293152 is about 33634.7016041469. The cubic root of 1131293152 is about 1041.9776079125.

It can be divided in two parts, 113129 and 3152, that added together give a square (116281 = 3412).

The spelling of 1131293152 in words is "one billion, one hundred thirty-one million, two hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 97 136 176 187 194 272 352 374 388 544 748 776 1067 1496 1552 1649 1949 2134 2992 3104 3298 3898 4268 5984 6596 7796 8536 13192 15592 17072 18139 21439 26384 31184 33133 34144 36278 42878 52768 62368 66266 72556 85756 132532 145112 171512 189053 265064 290224 343024 364463 378106 530128 580448 686048 728926 756212 1060256 1457852 1512424 2079583 2915704 3024848 3213901 4159166 5831408 6049696 6427802 8318332 11662816 12855604 16636664 25711208 33273328 35352911 51422416 66546656 70705822 102844832 141411644 282823288 565646576 1131293152