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1010020788 = 2232747531609
BaseRepresentation
bin111100001100111…
…011000110110100
32121101112101001100
4330030323012310
54032031131123
6244120130100
734013015010
oct7414730664
92541471040
101010020788
11479148627
12242306930
1313133834a
14981d9540
155da10643
hex3c33b1b4

1010020788 has 144 divisors (see below), whose sum is σ = 3038031360. Its totient is φ = 276936192.

The previous prime is 1010020771. The next prime is 1010020789. The reversal of 1010020788 is 8870200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010020789) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626928 + ... + 628536.

It is an arithmetic number, because the mean of its divisors is an integer number (21097440).

Almost surely, 21010020788 is an apocalyptic number.

1010020788 is a gapful number since it is divisible by the number (18) 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 1010020788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519015680).

1010020788 is an abundant number, since it is smaller than the sum of its proper divisors (2028010572).

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

1010020788 is a wasteful number, since it uses less digits than its factorization.

1010020788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1010020788 is about 31780.8242183868. The cubic root of 1010020788 is about 1003.3291670142.

Adding to 1010020788 its reverse (8870200101), we get a palindrome (9880220889).

The spelling of 1010020788 in words is "one billion, ten million, twenty thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 53 63 84 94 106 126 141 159 188 212 252 282 318 329 371 423 477 564 636 658 742 846 954 987 1113 1316 1484 1609 1692 1908 1974 2226 2491 2961 3218 3339 3948 4452 4827 4982 5922 6436 6678 7473 9654 9964 11263 11844 13356 14481 14946 17437 19308 22419 22526 28962 29892 33789 34874 44838 45052 52311 57924 67578 69748 75623 85277 89676 101367 104622 135156 151246 156933 170554 202734 209244 226869 255831 302492 313866 341108 405468 453738 511662 529361 596939 627732 680607 767493 907476 1023324 1058722 1193878 1361214 1534986 1588083 1790817 2117444 2387756 2722428 3069972 3176166 3581634 4008019 4764249 5372451 6352332 7163268 8016038 9528498 10744902 12024057 16032076 19056996 21489804 24048114 28056133 36072171 48096228 56112266 72144342 84168399 112224532 144288684 168336798 252505197 336673596 505010394 1010020788