Search a number
-
+
99739296 = 2533241479
BaseRepresentation
bin1011111000111…
…10011010100000
320221200021121000
411330132122200
5201013124141
613521432000
72320525056
oct574363240
9227607530
1099739296
1151333678
122949b600
1317881c47
14d3641d6
158b525b6
hex5f1e6a0

99739296 has 96 divisors (see below), whose sum is σ = 292723200. Its totient is φ = 33039360.

The previous prime is 99739279. The next prime is 99739333. The reversal of 99739296 is 69293799.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 207985 + ... + 208463.

It is an arithmetic number, because the mean of its divisors is an integer number (3049200).

Almost surely, 299739296 is an apocalyptic number.

99739296 is a gapful number since it is divisible by the number (96) 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 99739296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146361600).

99739296 is an abundant number, since it is smaller than the sum of its proper divisors (192983904).

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

99739296 is a wasteful number, since it uses less digits than its factorization.

99739296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 725 counting only the distinct ones).

The product of its digits is 1653372, while the sum is 54.

The square root of 99739296 is about 9986.9562930855. The cubic root of 99739296 is about 463.7551720688.

The spelling of 99739296 in words is "ninety-nine million, seven hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 241 288 432 479 482 723 864 958 964 1437 1446 1916 1928 2169 2874 2892 3832 3856 4311 4338 5748 5784 6507 7664 7712 8622 8676 11496 11568 12933 13014 15328 17244 17352 22992 23136 25866 26028 34488 34704 45984 51732 52056 68976 69408 103464 104112 115439 137952 206928 208224 230878 346317 413856 461756 692634 923512 1038951 1385268 1847024 2077902 2770536 3116853 3694048 4155804 5541072 6233706 8311608 11082144 12467412 16623216 24934824 33246432 49869648 99739296