Search a number
-
+
99703674 = 23271789523
BaseRepresentation
bin1011111000101…
…01101101111010
320221121110201200
411330111231322
5201011004144
613520555030
72320316160
oct574255572
9227543650
1099703674
1151309934
1229482a76
131786b975
14d355230
158b46c69
hex5f15b7a

99703674 has 96 divisors (see below), whose sum is σ = 264850560. Its totient is φ = 26459136.

The previous prime is 99703673. The next prime is 99703733. The reversal of 99703674 is 47630799.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (99703673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190377 + ... + 190899.

It is an arithmetic number, because the mean of its divisors is an integer number (2758860).

Almost surely, 299703674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99703674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132425280).

99703674 is an abundant number, since it is smaller than the sum of its proper divisors (165146886).

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

99703674 is a wasteful number, since it uses less digits than its factorization.

99703674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 99703674 is about 9985.1727075700. The cubic root of 99703674 is about 463.6999552703.

The spelling of 99703674 in words is "ninety-nine million, seven hundred three thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 89 102 119 126 153 178 238 267 306 357 523 534 623 714 801 1046 1071 1246 1513 1569 1602 1869 2142 3026 3138 3661 3738 4539 4707 5607 7322 8891 9078 9414 10591 10983 11214 13617 17782 21182 21966 26673 27234 31773 32949 46547 53346 62237 63546 65898 80019 93094 95319 124474 139641 160038 186711 190638 279282 325829 373422 418923 560133 651658 791299 837846 977487 1120266 1582598 1954974 2373897 2932461 4747794 5539093 5864922 7121691 11078186 14243382 16617279 33234558 49851837 99703674