Search a number
-
+
99869832 = 233217139587
BaseRepresentation
bin1011111001111…
…10010010001000
320221220220122200
411330332102020
5201031313312
613524320200
72321610456
oct574762210
9227826580
1099869832
1151412757
1229543060
13178c949a
14d3999d6
158b7b0dc
hex5f3e488

99869832 has 96 divisors (see below), whose sum is σ = 288943200. Its totient is φ = 31053312.

The previous prime is 99869821. The next prime is 99869839. The reversal of 99869832 is 23896899.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (99869839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169843 + ... + 170429.

It is an arithmetic number, because the mean of its divisors is an integer number (3009825).

Almost surely, 299869832 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 99869832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144471600).

99869832 is an abundant number, since it is smaller than the sum of its proper divisors (189073368).

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

99869832 is a wasteful number, since it uses less digits than its factorization.

99869832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 748 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 99869832 is about 9993.4894806569. The cubic root of 99869832 is about 463.9574004688.

The spelling of 99869832 in words is "ninety-nine million, eight hundred sixty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 139 153 204 278 306 408 417 556 587 612 834 1112 1174 1224 1251 1668 1761 2348 2363 2502 3336 3522 4696 4726 5004 5283 7044 7089 9452 9979 10008 10566 14088 14178 18904 19958 21132 21267 28356 29937 39916 42264 42534 56712 59874 79832 81593 85068 89811 119748 163186 170136 179622 239496 244779 326372 359244 489558 652744 718488 734337 979116 1387081 1468674 1958232 2774162 2937348 4161243 5548324 5874696 8322486 11096648 12483729 16644972 24967458 33289944 49934916 99869832