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2690530000 = 24541132381
BaseRepresentation
bin1010000001011110…
…0011101011010000
320221111201002022021
42200113203223100
521002233430000
61122551221224
7123450061534
oct24027435320
96844632267
102690530000
111160809014
12631077814
1333b54c1b2
141b7489bc4
1510b31411a
hexa05e3ad0

2690530000 has 100 divisors (see below), whose sum is σ = 6574448628. Its totient is φ = 1066240000.

The previous prime is 2690529983. The next prime is 2690530027. The reversal of 2690530000 is 350962.

It can be written as a sum of positive squares in 10 ways, for example, as 2581452864 + 109077136 = 50808^2 + 10444^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1128810 + ... + 1131190.

Almost surely, 22690530000 is an apocalyptic number.

2690530000 is a gapful number since it is divisible by the number (20) 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 2690530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287224314).

2690530000 is an abundant number, since it is smaller than the sum of its proper divisors (3883918628).

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

2690530000 is a wasteful number, since it uses less digits than its factorization.

2690530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 2690530000 is about 51870.3190659167. The cubic root of 2690530000 is about 1390.8467487142.

Adding to 2690530000 its reverse (350962), we get a palindrome (2690880962).

The spelling of 2690530000 in words is "two billion, six hundred ninety million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 200 226 250 400 452 500 565 625 904 1000 1130 1250 1808 2000 2260 2381 2500 2825 4520 4762 5000 5650 9040 9524 10000 11300 11905 14125 19048 22600 23810 28250 38096 45200 47620 56500 59525 70625 95240 113000 119050 141250 190480 226000 238100 269053 282500 297625 476200 538106 565000 595250 952400 1076212 1130000 1190500 1345265 1488125 2152424 2381000 2690530 2976250 4304848 4762000 5381060 5952500 6726325 10762120 11905000 13452650 21524240 23810000 26905300 33631625 53810600 67263250 107621200 134526500 168158125 269053000 336316250 538106000 672632500 1345265000 2690530000