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84738690 = 23352831109
BaseRepresentation
bin1010000110100…
…00001010000010
312220110011122000
411003100022002
5133143114230
612224124430
72046160401
oct503201202
9186404560
1084738690
1143918483
1224466716
131472c24a
14b37b638
15768cb60
hex50d0282

84738690 has 64 divisors (see below), whose sum is σ = 226972800. Its totient is φ = 22496832.

The previous prime is 84738673. The next prime is 84738707. The reversal of 84738690 is 9683748.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84738673) and next prime (84738707).

It is a super-2 number, since 2×847386902 = 14361291165832200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75856 + ... + 76964.

It is an arithmetic number, because the mean of its divisors is an integer number (3546450).

Almost surely, 284738690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84738690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113486400).

84738690 is an abundant number, since it is smaller than the sum of its proper divisors (142234110).

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

84738690 is a wasteful number, since it uses less digits than its factorization.

84738690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 84738690 is about 9205.3620243856. The cubic root of 84738690 is about 439.2319417481.

The spelling of 84738690 in words is "eighty-four million, seven hundred thirty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 283 566 849 1109 1415 1698 2218 2547 2830 3327 4245 5094 5545 6654 7641 8490 9981 11090 12735 15282 16635 19962 25470 29943 33270 38205 49905 59886 76410 99810 149715 299430 313847 627694 941541 1569235 1883082 2824623 3138470 4707705 5649246 8473869 9415410 14123115 16947738 28246230 42369345 84738690