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681781536 = 2534377109
BaseRepresentation
bin101000101000110…
…010100100100000
31202111220002110000
4220220302210200
52344014002121
6151352540000
722616022162
oct5050624440
91674802400
10681781536
1131a936617
121703b1600
13ab330b37
1466794932
153ecc4526
hex28a32920

681781536 has 120 divisors (see below), whose sum is σ = 2059582140. Its totient is φ = 221087232.

The previous prime is 681781531. The next prime is 681781537. The reversal of 681781536 is 635187186.

It can be written as a sum of positive squares in 2 ways, for example, as 681210000 + 571536 = 26100^2 + 756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 681781491 and 681781500.

It is not an unprimeable number, because it can be changed into a prime (681781531) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92350 + ... + 99458.

Almost surely, 2681781536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681781536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029791070).

681781536 is an abundant number, since it is smaller than the sum of its proper divisors (1377800604).

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

681781536 is a wasteful number, since it uses less digits than its factorization.

681781536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7168 (or 7151 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 681781536 is about 26110.9466699314. The cubic root of 681781536 is about 880.1332167469.

The spelling of 681781536 in words is "six hundred eighty-one million, seven hundred eighty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 288 296 324 333 432 444 592 648 666 864 888 999 1184 1296 1332 1776 1998 2592 2664 2997 3552 3996 5328 5994 7109 7992 10656 11988 14218 15984 21327 23976 28436 31968 42654 47952 56872 63981 85308 95904 113744 127962 170616 191943 227488 255924 263033 341232 383886 511848 526066 575829 682464 767772 789099 1023696 1052132 1151658 1535544 1578198 2047392 2104264 2303316 2367297 3071088 3156396 4208528 4606632 4734594 6142176 6312792 7101891 8417056 9213264 9469188 12625584 14203782 18426528 18938376 21305673 25251168 28407564 37876752 42611346 56815128 75753504 85222692 113630256 170445384 227260512 340890768 681781536