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1112025420 = 22325111733037
BaseRepresentation
bin100001001001000…
…0010100101001100
32212111110202002200
41002102002211030
54234134303140
6302202321500
736362026422
oct10222024514
92774422080
101112025420
11520789180
122704b9290
1314950140c
14a798d112
156795e030
hex4248294c

1112025420 has 144 divisors (see below), whose sum is σ = 3896369568. Its totient is φ = 253716480.

The previous prime is 1112025401. The next prime is 1112025449. The reversal of 1112025420 is 245202111.

1112025420 is a `hidden beast` number, since 1 + 1 + 120 + 2 + 542 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1112025393 and 1112025402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17142 + ... + 50178.

It is an arithmetic number, because the mean of its divisors is an integer number (27058122).

Almost surely, 21112025420 is an apocalyptic number.

1112025420 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 1112025420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948184784).

1112025420 is an abundant number, since it is smaller than the sum of its proper divisors (2784344148).

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

1112025420 is a wasteful number, since it uses less digits than its factorization.

1112025420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33080 (or 33075 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1112025420 is about 33347.0451464594. The cubic root of 1112025420 is about 1036.0281877912.

Adding to 1112025420 its reverse (245202111), we get a palindrome (1357227531).

The spelling of 1112025420 in words is "one billion, one hundred twelve million, twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 16830 33037 33660 66074 99111 132148 165185 198222 297333 330370 363407 396444 495555 561629 594666 660740 726814 991110 1090221 1123258 1189332 1453628 1486665 1684887 1817035 1982220 2180442 2246516 2808145 2973330 3270663 3369774 3634070 4360884 5054661 5451105 5616290 5946660 6177919 6541326 6739548 7268140 8424435 10109322 10902210 11232580 12355838 13082652 16353315 16848870 18533757 20218644 21804420 24711676 25273305 30889595 32706630 33697740 37067514 50546610 55601271 61779190 65413260 74135028 92668785 101093220 111202542 123558380 185337570 222405084 278006355 370675140 556012710 1112025420