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1121474304 = 2832643757
BaseRepresentation
bin100001011011000…
…0101011100000000
32220011020210112100
41002312011130000
54244044134204
6303141030400
736535242246
oct10266053400
92804223470
101121474304
11526052275
122736b5400
1314b45c182
14a8d2c796
15686c8a39
hex42d85700

1121474304 has 108 divisors (see below), whose sum is σ = 3242793736. Its totient is φ = 372750336.

The previous prime is 1121474303. The next prime is 1121474317. The reversal of 1121474304 is 4034741211.

1121474304 is a `hidden beast` number, since 11 + 214 + 7 + 430 + 4 = 666.

It is a super-2 number, since 2×11214743042 = 2515409229064568832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121474303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1481094 + ... + 1481850.

Almost surely, 21121474304 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 1121474304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621396868).

1121474304 is an abundant number, since it is smaller than the sum of its proper divisors (2121319432).

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

1121474304 is an equidigital number, since it uses as much as digits as its factorization.

1121474304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1121474304 is about 33488.4204464767. The cubic root of 1121474304 is about 1038.9542940769.

The spelling of 1121474304 in words is "one billion, one hundred twenty-one million, four hundred seventy-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 643 757 768 1152 1286 1514 1929 2271 2304 2572 3028 3858 4542 5144 5787 6056 6813 7716 9084 10288 11574 12112 13626 15432 18168 20576 23148 24224 27252 30864 36336 41152 46296 48448 54504 61728 72672 82304 92592 96896 109008 123456 145344 164608 185184 193792 218016 246912 290688 370368 436032 486751 493824 581376 740736 872064 973502 1460253 1481472 1744128 1947004 2920506 3894008 4380759 5841012 7788016 8761518 11682024 15576032 17523036 23364048 31152064 35046072 46728096 62304128 70092144 93456192 124608256 140184288 186912384 280368576 373824768 560737152 1121474304