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14700042 = 235729149
BaseRepresentation
bin111000000100…
…111000001010
31000122211200000
4320010320022
512230400132
61243023430
7235643160
oct70047012
930584600
1014700042
1183303a5
124b0ab76
133078c66
141d49230
15145587c
hexe04e0a

14700042 has 96 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 4027968.

The previous prime is 14700029. The next prime is 14700061. The reversal of 14700042 is 24000741.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14699988 and 14700024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98584 + ... + 98732.

It is an arithmetic number, because the mean of its divisors is an integer number (409500).

Almost surely, 214700042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14700042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

14700042 is an abundant number, since it is smaller than the sum of its proper divisors (24611958).

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

14700042 is a wasteful number, since it uses less digits than its factorization.

14700042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 14700042 is about 3834.0633797578. The cubic root of 14700042 is about 244.9662149720.

Adding to 14700042 its reverse (24000741), we get a palindrome (38700783).

The spelling of 14700042 in words is "fourteen million, seven hundred thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 149 162 174 189 203 243 261 298 378 406 447 486 522 567 609 783 894 1043 1134 1218 1341 1566 1701 1827 2086 2349 2682 3129 3402 3654 4023 4321 4698 5481 6258 7047 8046 8642 9387 10962 12069 12963 14094 16443 18774 24138 25926 28161 30247 32886 36207 38889 49329 56322 60494 72414 77778 84483 90741 98658 116667 168966 181482 233334 253449 272223 350001 506898 544446 700002 816669 1050003 1633338 2100006 2450007 4900014 7350021 14700042