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1013688 = 233313192
BaseRepresentation
bin11110111011110111000
31220111112000
43313132320
5224414223
633421000
711421234
oct3673670
91814460
101013688
11632665
1240a760
13296520
141c55c4
15150543
hexf77b8

1013688 has 96 divisors (see below), whose sum is σ = 3200400. Its totient is φ = 295488.

The previous prime is 1013687. The next prime is 1013699. The reversal of 1013688 is 8863101.

It is a super-2 number, since 2×10136882 = 2055126722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53343 + ... + 53361.

21013688 is an apocalyptic number.

1013688 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 1013688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600200).

1013688 is an abundant number, since it is smaller than the sum of its proper divisors (2186712).

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

1013688 is a wasteful number, since it uses less digits than its factorization.

1013688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1013688 is about 1006.8207387614. The cubic root of 1013688 is about 100.4542005618.

Adding to 1013688 its reverse (8863101), we get a palindrome (9876789).

The spelling of 1013688 in words is "one million, thirteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 361 456 468 494 513 684 702 722 741 936 988 1026 1083 1368 1404 1444 1482 1976 2052 2166 2223 2808 2888 2964 3249 4104 4332 4446 4693 5928 6498 6669 8664 8892 9386 9747 12996 13338 14079 17784 18772 19494 25992 26676 28158 37544 38988 42237 53352 56316 77976 84474 112632 126711 168948 253422 337896 506844 1013688