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1682996224 = 21071318061
BaseRepresentation
bin110010001010000…
…0111110000000000
311100021212001210111
41210110013300000
511421321334344
6435000241104
756464142350
oct14424076000
94307761714
101682996224
11794009a78
123ab770194
1320a8a4b70
1411d73ab60
159cb45834
hex64507c00

1682996224 has 88 divisors (see below), whose sum is σ = 4140966368. Its totient is φ = 665763840.

The previous prime is 1682996213. The next prime is 1682996233. The reversal of 1682996224 is 4226992861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84154 + ... + 102214.

It is an arithmetic number, because the mean of its divisors is an integer number (47056436).

Almost surely, 21682996224 is an apocalyptic number.

1682996224 is a gapful number since it is divisible by the number (14) 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 1682996224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070483184).

1682996224 is an abundant number, since it is smaller than the sum of its proper divisors (2457970144).

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

1682996224 is a wasteful number, since it uses less digits than its factorization.

1682996224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18101 (or 18083 counting only the distinct ones).

The product of its digits is 746496, while the sum is 49.

The square root of 1682996224 is about 41024.3369720950. The cubic root of 1682996224 is about 1189.4906899432.

The spelling of 1682996224 in words is "one billion, six hundred eighty-two million, nine hundred ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2912 3328 3584 5824 6656 7168 11648 13312 18061 23296 36122 46592 72244 93184 126427 144488 234793 252854 288976 469586 505708 577952 939172 1011416 1155904 1643551 1878344 2022832 2311808 3287102 3756688 4045664 4623616 6574204 7513376 8091328 9247232 13148408 15026752 16182656 18494464 26296816 30053504 32365312 52593632 60107008 64730624 105187264 120214016 129461248 210374528 240428032 420749056 841498112 1682996224