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42313140 = 22325317583
BaseRepresentation
bin1010000101101…
…0010110110100
32221121201201100
42201122112310
541313010030
64110530100
71022440632
oct241322664
987551640
1042313140
1121980541
1212206930
1389c667c
145896352
153aac360
hex285a5b4

42313140 has 72 divisors (see below), whose sum is σ = 132507648. Its totient is φ = 10918080.

The previous prime is 42313099. The next prime is 42313147. The reversal of 42313140 is 4131324.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42313147) 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, 1789 + ... + 9371.

It is an arithmetic number, because the mean of its divisors is an integer number (1840384).

Almost surely, 242313140 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 42313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66253824).

42313140 is an abundant number, since it is smaller than the sum of its proper divisors (90194508).

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

42313140 is a wasteful number, since it uses less digits than its factorization.

42313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7629 (or 7624 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42313140 is about 6504.8551098391. The cubic root of 42313140 is about 348.4644017852.

Adding to 42313140 its reverse (4131324), we get a palindrome (46444464).

The spelling of 42313140 in words is "forty-two million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 7583 15166 22749 30332 37915 45498 68247 75830 90996 113745 136494 151660 227490 235073 272988 341235 454980 470146 682470 705219 940292 1175365 1364940 1410438 2115657 2350730 2820876 3526095 4231314 4701460 7052190 8462628 10578285 14104380 21156570 42313140