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435113140 = 2257211181223
BaseRepresentation
bin11001111011110…
…100110010110100
31010022202001000111
4121323310302310
51342342110030
6111101552404
713532254300
oct3173646264
91108661014
10435113140
11203678a40
12101875704
136c1b69c7
1441b04d00
15282ec62a
hex19ef4cb4

435113140 has 144 divisors (see below), whose sum is σ = 1171183104. Its totient is φ = 134265600.

The previous prime is 435113137. The next prime is 435113143. The reversal of 435113140 is 41311534.

It is an interprime number because it is at equal distance from previous prime (435113137) and next prime (435113143).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (435113143) 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, 1951069 + ... + 1951291.

It is an arithmetic number, because the mean of its divisors is an integer number (8133216).

Almost surely, 2435113140 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 435113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585591552).

435113140 is an abundant number, since it is smaller than the sum of its proper divisors (736069964).

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

435113140 is a wasteful number, since it uses less digits than its factorization.

435113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 435113140 is about 20859.3657621702. The cubic root of 435113140 is about 757.7641698997.

Adding to 435113140 its reverse (41311534), we get a palindrome (476424674).

The spelling of 435113140 in words is "four hundred thirty-five million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 181 196 220 223 245 308 362 385 446 490 539 724 770 892 905 980 1078 1115 1267 1540 1561 1810 1991 2156 2230 2453 2534 2695 3122 3620 3982 4460 4906 5068 5390 6244 6335 7805 7964 8869 9812 9955 10780 10927 12265 12670 13937 15610 17171 17738 19910 21854 24530 25340 27874 31220 34342 35476 39820 40363 43708 44345 49060 54635 55748 68684 69685 80726 85855 88690 97559 109270 120197 139370 161452 171710 177380 195118 201815 218540 240394 278740 282541 343420 390236 403630 443993 480788 487795 565082 600985 807260 887986 975590 1130164 1201970 1412705 1775972 1951180 1977787 2219965 2403940 2825410 3107951 3955574 4439930 5650820 6215902 7911148 8879860 9888935 12431804 15539755 19777870 21755657 31079510 39555740 43511314 62159020 87022628 108778285 217556570 435113140