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2023698240 = 2632523137223
BaseRepresentation
bin111100010011111…
…0010111101000000
312020000221112002200
41320213302331000
513121031320430
6532450513200
7101102102604
oct17047627500
95200845080
102023698240
11949363493
12485895800
13263353ba5
14152aa7504
15bc9e4460
hex789f2f40

2023698240 has 336 divisors, whose sum is σ = 7349142528. Its totient is φ = 510124032.

The previous prime is 2023698233. The next prime is 2023698253. The reversal of 2023698240 is 428963202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2023698195 and 2023698204.

It is a congruent number.

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, 9074769 + ... + 9074991.

It is an arithmetic number, because the mean of its divisors is an integer number (21872448).

Almost surely, 22023698240 is an apocalyptic number.

2023698240 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 2023698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674571264).

2023698240 is an abundant number, since it is smaller than the sum of its proper divisors (5325444288).

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

2023698240 is a wasteful number, since it uses less digits than its factorization.

2023698240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2023698240 is about 44985.5336747270. The cubic root of 2023698240 is about 1264.8778418390.

The spelling of 2023698240 in words is "two billion, twenty-three million, six hundred ninety-eight thousand, two hundred forty".