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1013376 = 27371329
BaseRepresentation
bin11110111011010000000
31220111002110
43313122000
5224412001
633415320
711420310
oct3673200
91814073
101013376
11632401
1240a540
13296340
141c5440
151503d6
hexf7680

1013376 has 128 divisors (see below), whose sum is σ = 3427200. Its totient is φ = 258048.

The previous prime is 1013329. The next prime is 1013377. The reversal of 1013376 is 6733101.

1013376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34930 + ... + 34958.

It is an arithmetic number, because the mean of its divisors is an integer number (26775).

21013376 is an apocalyptic number.

1013376 is a gapful number since it is divisible by the number (16) 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 1013376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713600).

1013376 is an abundant number, since it is smaller than the sum of its proper divisors (2413824).

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

1013376 is a wasteful number, since it uses less digits than its factorization.

1013376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 1013376 is about 1006.6657836641. The cubic root of 1013376 is about 100.4438933382.

Adding to 1013376 its reverse (6733101), we get a palindrome (7746477).

The spelling of 1013376 in words is "one million, thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 29 32 39 42 48 52 56 58 64 78 84 87 91 96 104 112 116 128 156 168 174 182 192 203 208 224 232 273 312 336 348 364 377 384 406 416 448 464 546 609 624 672 696 728 754 812 832 896 928 1092 1131 1218 1248 1344 1392 1456 1508 1624 1664 1856 2184 2262 2436 2496 2639 2688 2784 2912 3016 3248 3712 4368 4524 4872 4992 5278 5568 5824 6032 6496 7917 8736 9048 9744 10556 11136 11648 12064 12992 15834 17472 18096 19488 21112 24128 25984 31668 34944 36192 38976 42224 48256 63336 72384 77952 84448 126672 144768 168896 253344 337792 506688 1013376