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2426432120 = 235731727337
BaseRepresentation
bin1001000010100000…
…0110101001111000
320021002202112010022
42100220012221320
514432131311440
61040434510012
7114062222060
oct22050065170
96232675108
102426432120
111035726402
12578735308
132c8911968
141903803a0
15e3047cb5
hex90a06a78

2426432120 has 64 divisors (see below), whose sum is σ = 6259308480. Its totient is φ = 829264896.

The previous prime is 2426432089. The next prime is 2426432131. The reversal of 2426432120 is 212346242.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2426432120.

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, 75092 + ... + 102428.

It is an arithmetic number, because the mean of its divisors is an integer number (97801695).

Almost surely, 22426432120 is an apocalyptic number.

2426432120 is a gapful number since it is divisible by the number (20) 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 2426432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129654240).

2426432120 is an abundant number, since it is smaller than the sum of its proper divisors (3832876360).

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

2426432120 is a wasteful number, since it uses less digits than its factorization.

2426432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27672 (or 27668 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2426432120 is about 49258.8278382667. The cubic root of 2426432120 is about 1343.7631134253.

Adding to 2426432120 its reverse (212346242), we get a palindrome (2638778362).

The spelling of 2426432120 in words is "two billion, four hundred twenty-six million, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 317 634 1268 1585 2219 2536 3170 4438 6340 8876 11095 12680 17752 22190 27337 44380 54674 88760 109348 136685 191359 218696 273370 382718 546740 765436 956795 1093480 1530872 1913590 3827180 7654360 8665829 17331658 34663316 43329145 60660803 69326632 86658290 121321606 173316580 242643212 303304015 346633160 485286424 606608030 1213216060 2426432120