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840720738 = 2311131935077
BaseRepresentation
bin110010000111000…
…110000101100010
32011120222001001010
4302013012011202
53210211030423
6215231321350
726556002604
oct6207060542
92146861033
10840720738
113a1623a30
121b5680256
1310523c7c0
147d929174
154dc1c693
hex321c6162

840720738 has 64 divisors (see below), whose sum is σ = 1986026112. Its totient is φ = 233902080.

The previous prime is 840720731. The next prime is 840720743. The reversal of 840720738 is 837027048.

It is a super-2 number, since 2×8407207382 = 1413622718606529288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 840720696 and 840720705.

It is not an unprimeable number, because it can be changed into a prime (840720731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163056 + ... + 168132.

It is an arithmetic number, because the mean of its divisors is an integer number (31031658).

Almost surely, 2840720738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840720738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993013056).

840720738 is an abundant number, since it is smaller than the sum of its proper divisors (1145305374).

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

840720738 is a wasteful number, since it uses less digits than its factorization.

840720738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5299.

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 840720738 is about 28995.1847381595. The cubic root of 840720738 is about 943.8085777538.

The spelling of 840720738 in words is "eight hundred forty million, seven hundred twenty thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 193 286 386 429 579 858 1158 2123 2509 4246 5018 5077 6369 7527 10154 12738 15054 15231 27599 30462 55198 55847 66001 82797 111694 132002 165594 167541 198003 335082 396006 726011 979861 1452022 1959722 2178033 2939583 4356066 5879166 10778471 12738193 21556942 25476386 32335413 38214579 64670826 76429158 140120123 280240246 420360369 840720738