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2027153376 = 25327199137
BaseRepresentation
bin111100011010011…
…1110011111100000
312020021110001122200
41320310332133200
513122422402001
6533052533200
7101143343103
oct17064763740
95207401580
102027153376
11950303376
12486a81200
13263c93751
1415332673a
15bce78086
hex78d3e7e0

2027153376 has 72 divisors (see below), whose sum is σ = 5845969584. Its totient is φ = 666193920.

The previous prime is 2027153291. The next prime is 2027153393. The reversal of 2027153376 is 6733517202.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2027153376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29121 + ... + 70016.

It is an arithmetic number, because the mean of its divisors is an integer number (81194022).

Almost surely, 22027153376 is an apocalyptic number.

It is an amenable number.

2027153376 is an abundant number, since it is smaller than the sum of its proper divisors (3818816208).

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

2027153376 is a wasteful number, since it uses less digits than its factorization.

2027153376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99224 (or 99213 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 2027153376 is about 45023.9200425729. The cubic root of 2027153376 is about 1265.5972903599.

It can be divided in two parts, 2027 and 153376, that added together give a triangular number (155403 = T557).

The spelling of 2027153376 in words is "two billion, twenty-seven million, one hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 20448 99137 198274 297411 396548 594822 793096 892233 1189644 1586192 1784466 2379288 3172384 3568932 4758576 7038727 7137864 9517152 14077454 14275728 21116181 28154908 28551456 42232362 56309816 63348543 84464724 112619632 126697086 168929448 225239264 253394172 337858896 506788344 675717792 1013576688 2027153376