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2690227008 = 26327295317
BaseRepresentation
bin1010000001011001…
…1001101101000000
320221111010200200100
42200112121231000
521002144231013
61122540522400
7123444360300
oct24026315500
96844120610
102690227008
111160621407
12630b50400
1333b474301
141b740b600
1510b2a4473
hexa0599b40

2690227008 has 126 divisors (see below), whose sum is σ = 8970091026. Its totient is φ = 768628224.

The previous prime is 2690226997. The next prime is 2690227019. The reversal of 2690227008 is 8007220962.

It is an interprime number because it is at equal distance from previous prime (2690226997) and next prime (2690227019).

It can be written as a sum of positive squares in only one way, i.e., 2642782464 + 47444544 = 51408^2 + 6888^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19435 + ... + 75882.

Almost surely, 22690227008 is an apocalyptic number.

2690227008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2690227008 is an abundant number, since it is smaller than the sum of its proper divisors (6279864018).

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

2690227008 is a wasteful number, since it uses less digits than its factorization.

2690227008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95349 (or 95329 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2690227008 is about 51867.3983153194. The cubic root of 2690227008 is about 1390.7945370362.

The spelling of 2690227008 in words is "two billion, six hundred ninety million, two hundred twenty-seven thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 95317 190634 285951 381268 571902 667219 762536 857853 1143804 1334438 1525072 1715706 2001657 2287608 2668876 3050144 3431412 4003314 4575216 4670533 5337752 6004971 6100288 6862824 8006628 9150432 9341066 10675504 12009942 13725648 14011599 16013256 18300864 18682132 21351008 24019884 27451296 28023198 32026512 37364264 42034797 42702016 48039768 54902592 56046396 64053024 74728528 84069594 96079536 112092792 128106048 149457056 168139188 192159072 224185584 298914112 336278376 384318144 448371168 672556752 896742336 1345113504 2690227008