Search a number
-
+
99771312 = 2437983317
BaseRepresentation
bin1011111001001…
…10001110110000
320221201220111210
411330212032300
5201020140222
613522240120
72321020314
oct574461660
9227656453
1099771312
1151355733
12294b6040
13178936a4
14d371b44
158b5bd0c
hex5f263b0

99771312 has 80 divisors (see below), whose sum is σ = 264983040. Its totient is φ = 32338176.

The previous prime is 99771307. The next prime is 99771359. The reversal of 99771312 is 21317799.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314578 + ... + 314894.

It is an arithmetic number, because the mean of its divisors is an integer number (3312288).

Almost surely, 299771312 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 99771312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132491520).

99771312 is an abundant number, since it is smaller than the sum of its proper divisors (165211728).

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

99771312 is a wasteful number, since it uses less digits than its factorization.

99771312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its digits is 23814, while the sum is 39.

The square root of 99771312 is about 9988.5590552391. The cubic root of 99771312 is about 463.8047880771.

The spelling of 99771312 in words is "ninety-nine million, seven hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 83 158 166 237 249 316 317 332 474 498 632 634 664 948 951 996 1264 1268 1328 1896 1902 1992 2536 3792 3804 3984 5072 6557 7608 13114 15216 19671 25043 26228 26311 39342 50086 52456 52622 75129 78684 78933 100172 104912 105244 150258 157368 157866 200344 210488 300516 314736 315732 400688 420976 601032 631464 1202064 1262928 2078569 4157138 6235707 8314276 12471414 16628552 24942828 33257104 49885656 99771312