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1107482992 = 247112711151
BaseRepresentation
bin100001000000010…
…1101100101110000
32212011220222001121
41002000231211300
54232003423432
6301521112024
736305310250
oct10200554560
92764828047
101107482992
11519166400
1226aa88614
131485a09a5
14a7129960
1567363197
hex4202d970

1107482992 has 120 divisors (see below), whose sum is σ = 2735824896. Its totient is φ = 425040000.

The previous prime is 1107482989. The next prime is 1107482993. The reversal of 1107482992 is 2992847011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107482993) 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 23 ways as a sum of consecutive naturals, for example, 961617 + ... + 962767.

Almost surely, 21107482992 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 1107482992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367912448).

1107482992 is an abundant number, since it is smaller than the sum of its proper divisors (1628341904).

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

1107482992 is a wasteful number, since it uses less digits than its factorization.

1107482992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The square root of 1107482992 is about 33278.8670480231. The cubic root of 1107482992 is about 1034.6155984186.

The spelling of 1107482992 in words is "one billion, one hundred seven million, four hundred eighty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 71 77 88 112 121 142 154 176 242 284 308 484 497 568 616 781 847 968 994 1136 1151 1232 1562 1694 1936 1988 2302 3124 3388 3976 4604 5467 6248 6776 7952 8057 8591 9208 10934 12496 12661 13552 16114 17182 18416 21868 25322 32228 34364 43736 50644 60137 64456 68728 81721 87472 88627 101288 120274 128912 137456 139271 163442 177254 202576 240548 278542 326884 354508 481096 557084 572047 653768 709016 898931 962192 974897 1114168 1144094 1307536 1418032 1797862 1949794 2228336 2288188 3595724 3899588 4576376 6292517 7191448 7799176 9152752 9888241 12585034 14382896 15598352 19776482 25170068 39552964 50340136 69217687 79105928 100680272 138435374 158211856 276870748 553741496 1107482992