Search a number
-
+
99059712 = 211323701
BaseRepresentation
bin1011110011110…
…00100000000000
320220101202101020
411321320200000
5200324402322
613455105440
72311664553
oct571704000
9226352336
1099059712
1150a0a034
1229212280
13176a481b
14d22869a
158a6b05c
hex5e78800

99059712 has 96 divisors (see below), whose sum is σ = 275970240. Its totient is φ = 31539200.

The previous prime is 99059707. The next prime is 99059713. The reversal of 99059712 is 21795099.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (99059713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140962 + ... + 141662.

It is an arithmetic number, because the mean of its divisors is an integer number (2874690).

Almost surely, 299059712 is an apocalyptic number.

99059712 is a gapful number since it is divisible by the number (92) 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 99059712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137985120).

99059712 is an abundant number, since it is smaller than the sum of its proper divisors (176910528).

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

99059712 is a wasteful number, since it uses less digits than its factorization.

99059712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 42.

The square root of 99059712 is about 9952.8745596436. The cubic root of 99059712 is about 462.6994894960.

The spelling of 99059712 in words is "ninety-nine million, fifty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 701 736 768 1024 1104 1402 1472 1536 2048 2103 2208 2804 2944 3072 4206 4416 5608 5888 6144 8412 8832 11216 11776 16123 16824 17664 22432 23552 32246 33648 35328 44864 47104 48369 64492 67296 70656 89728 96738 128984 134592 141312 179456 193476 257968 269184 358912 386952 515936 538368 717824 773904 1031872 1076736 1435648 1547808 2063744 2153472 3095616 4127488 4306944 6191232 8254976 12382464 16509952 24764928 33019904 49529856 99059712