Search a number
-
+
1025696736 = 25338314303
BaseRepresentation
bin111101001000101…
…110001111100000
32122111000210102000
4331020232033200
54100034243421
6245440124000
734263164331
oct7510561740
92574023360
101025696736
11486a85159
12247606600
1313466655c
149a31a288
15600aa226
hex3d22e3e0

1025696736 has 96 divisors (see below), whose sum is σ = 3027870720. Its totient is φ = 337756032.

The previous prime is 1025696719. The next prime is 1025696747. The reversal of 1025696736 is 6376965201.

1025696736 is a `hidden beast` number, since 10 + 2 + 569 + 6 + 73 + 6 = 666.

1025696736 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 (96).

It is a junction number, because it is equal to n+sod(n) for n = 1025696691 and 1025696700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64561 + ... + 78863.

It is an arithmetic number, because the mean of its divisors is an integer number (31540320).

Almost surely, 21025696736 is an apocalyptic number.

1025696736 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 1025696736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513935360).

1025696736 is an abundant number, since it is smaller than the sum of its proper divisors (2002173984).

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

1025696736 is a wasteful number, since it uses less digits than its factorization.

1025696736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14405 (or 14391 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 1025696736 is about 32026.5005269074. The cubic root of 1025696736 is about 1008.4932393321.

The spelling of 1025696736 in words is "one billion, twenty-five million, six hundred ninety-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 432 498 664 747 864 996 1328 1494 1992 2241 2656 2988 3984 4482 5976 7968 8964 11952 14303 17928 23904 28606 35856 42909 57212 71712 85818 114424 128727 171636 228848 257454 343272 386181 457696 514908 686544 772362 1029816 1187149 1373088 1544724 2059632 2374298 3089448 3561447 4119264 4748596 6178896 7122894 9497192 10684341 12357792 14245788 18994384 21368682 28491576 32053023 37988768 42737364 56983152 64106046 85474728 113966304 128212092 170949456 256424184 341898912 512848368 1025696736