Search a number
-
+
99694272 = 2635397101
BaseRepresentation
bin1011111000100…
…11011011000000
320221120222211110
411330103123000
5201010204042
613520443320
72320246566
oct574233300
9227528743
1099694272
1151302867
1229479540
13178675c2
14d351a36
158b4409c
hex5f136c0

99694272 has 112 divisors (see below), whose sum is σ = 274210272. Its totient is φ = 31948800.

The previous prime is 99694271. The next prime is 99694279. The reversal of 99694272 is 27249699.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (99694271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 987022 + ... + 987122.

It is an arithmetic number, because the mean of its divisors is an integer number (2448306).

Almost surely, 299694272 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 99694272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137105136).

99694272 is an abundant number, since it is smaller than the sum of its proper divisors (174516000).

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

99694272 is a wasteful number, since it uses less digits than its factorization.

99694272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 99694272 is about 9984.7018984044. The cubic root of 99694272 is about 463.6853792644.

It can be divided in two parts, 9969 and 4272, that added together give a palindrome (14241).

The spelling of 99694272 in words is "ninety-nine million, six hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 97 101 106 159 192 194 202 212 291 303 318 388 404 424 582 606 636 776 808 848 1164 1212 1272 1552 1616 1696 2328 2424 2544 3104 3232 3392 4656 4848 5088 5141 5353 6208 6464 9312 9696 9797 10176 10282 10706 15423 16059 18624 19392 19594 20564 21412 29391 30846 32118 39188 41128 42824 58782 61692 64236 78376 82256 85648 117564 123384 128472 156752 164512 171296 235128 246768 256944 313504 329024 342592 470256 493536 513888 519241 627008 940512 987072 1027776 1038482 1557723 1881024 2076964 3115446 4153928 6230892 8307856 12461784 16615712 24923568 33231424 49847136 99694272