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1113420432 = 243232983419
BaseRepresentation
bin100001001011101…
…0111001010010000
32212121002121200210
41002113113022100
54240013423212
6302252244120
736406626465
oct10227271220
92777077623
101113420432
11521551283
12270a70640
1314989c377
14a7c3366c
1567b3753c
hex425d7290

1113420432 has 160 divisors (see below), whose sum is σ = 3149798400. Its totient is φ = 337824256.

The previous prime is 1113420419. The next prime is 1113420467. The reversal of 1113420432 is 2340243111.

It is a junction number, because it is equal to n+sod(n) for n = 1113420399 and 1113420408.

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 31 ways as a sum of consecutive naturals, for example, 2657119 + ... + 2657537.

It is an arithmetic number, because the mean of its divisors is an integer number (19686240).

Almost surely, 21113420432 is an apocalyptic number.

1113420432 is a gapful number since it is divisible by the number (12) 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 1113420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574899200).

1113420432 is an abundant number, since it is smaller than the sum of its proper divisors (2036377968).

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

1113420432 is a wasteful number, since it uses less digits than its factorization.

1113420432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1113420432 is about 33367.9551665966. The cubic root of 1113420432 is about 1036.4612317951.

Adding to 1113420432 its reverse (2340243111), we get a palindrome (3453663543).

The spelling of 1113420432 in words is "one billion, one hundred thirteen million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 46 48 58 69 83 87 92 116 138 166 174 184 232 249 276 332 348 368 419 464 498 552 664 667 696 838 996 1104 1257 1328 1334 1392 1676 1909 1992 2001 2407 2514 2668 3352 3818 3984 4002 4814 5028 5336 5727 6704 7221 7636 8004 9628 9637 10056 10672 11454 12151 14442 15272 16008 19256 19274 20112 22908 24302 28884 28911 30544 32016 34777 36453 38512 38548 45816 48604 55361 57768 57822 69554 72906 77096 91632 97208 104331 110722 115536 115644 139108 145812 154192 166083 194416 208662 221444 231288 278216 279473 291624 332166 417324 442888 462576 556432 558946 583248 664332 799871 834648 838419 885776 1008533 1117892 1328664 1599742 1669296 1676838 2017066 2235784 2399613 2657328 3025599 3199484 3353676 4034132 4471568 4799226 6051198 6398968 6707352 8068264 9598452 12102396 12797936 13414704 16136528 19196904 23196259 24204792 38393808 46392518 48409584 69588777 92785036 139177554 185570072 278355108 371140144 556710216 1113420432