Search a number
-
+
84154368 = 211313697
BaseRepresentation
bin1010000010000…
…01100000000000
312212100111002110
411001001200000
5133020414433
612203415320
72041205004
oct501014000
9185314073
1084154368
1143559471
1224224540
13145862ac
14b268704
1575c4963
hex5041800

84154368 has 48 divisors (see below), whose sum is σ = 224373240. Its totient is φ = 28049408.

The previous prime is 84154339. The next prime is 84154373. The reversal of 84154368 is 86345148.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 705 + ... + 12992.

Almost surely, 284154368 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 84154368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112186620).

84154368 is an abundant number, since it is smaller than the sum of its proper divisors (140218872).

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

84154368 is a wasteful number, since it uses less digits than its factorization.

84154368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13722 (or 13702 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 84154368 is about 9173.5689892212. The cubic root of 84154368 is about 438.2200266472.

The spelling of 84154368 in words is "eighty-four million, one hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 13697 27394 41091 54788 82182 109576 164364 219152 328728 438304 657456 876608 1314912 1753216 2629824 3506432 5259648 7012864 10519296 14025728 21038592 28051456 42077184 84154368