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2140415532 = 2232174774413
BaseRepresentation
bin111111110010100…
…0010011000101100
312112011120101010100
41333211002120230
513340421244112
6552220311100
7104020142343
oct17745023054
95464511110
102140415532
119a9232962
124b89a2490
1328159b888
141643aab5a
15c7d9c2dc
hex7f94262c

2140415532 has 72 divisors (see below), whose sum is σ = 5850726336. Its totient is φ = 657206784.

The previous prime is 2140415521. The next prime is 2140415587. The reversal of 2140415532 is 2355140412.

2140415532 is a `hidden beast` number, since 214 + 0 + 415 + 5 + 32 = 666.

2140415532 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2140415496 and 2140415505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8443 + ... + 65970.

It is an arithmetic number, because the mean of its divisors is an integer number (81260088).

Almost surely, 22140415532 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 2140415532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925363168).

2140415532 is an abundant number, since it is smaller than the sum of its proper divisors (3710310804).

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

2140415532 is a wasteful number, since it uses less digits than its factorization.

2140415532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74487 (or 74482 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2140415532 is about 46264.6250606227. The cubic root of 2140415532 is about 1288.7421450794.

Adding to 2140415532 its reverse (2355140412), we get a palindrome (4495555944).

The spelling of 2140415532 in words is "two billion, one hundred forty million, four hundred fifteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 47 51 68 94 102 141 153 188 204 282 306 423 564 612 799 846 1598 1692 2397 3196 4794 7191 9588 14382 28764 74413 148826 223239 297652 446478 669717 892956 1265021 1339434 2530042 2678868 3497411 3795063 5060084 6994822 7590126 10492233 11385189 13989644 15180252 20984466 22770378 31476699 41968932 45540756 59455987 62953398 118911974 125906796 178367961 237823948 356735922 535103883 713471844 1070207766 2140415532