Search a number
-
+
2152603540 = 225739145643
BaseRepresentation
bin1000000001001110…
…0001111110010100
312120000111120221001
42000103201332110
513402031303130
6553333433044
7104225554033
oct20023417624
95500446831
102152603540
11a050a799a
12500a9b784
13283c78309
14165c6071a
15c8ea86ca
hex804e1f94

2152603540 has 24 divisors (see below), whose sum is σ = 4526615520. Its totient is φ = 859870368.

The previous prime is 2152603507. The next prime is 2152603547. The reversal of 2152603540 is 453062512.

It is a junction number, because it is equal to n+sod(n) for n = 2152603499 and 2152603508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152603547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58042 + ... + 87601.

It is an arithmetic number, because the mean of its divisors is an integer number (188608980).

Almost surely, 22152603540 is an apocalyptic number.

2152603540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2152603540 is an abundant number, since it is smaller than the sum of its proper divisors (2374011980).

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

2152603540 is a wasteful number, since it uses less digits than its factorization.

2152603540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146391 (or 146389 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 2152603540 is about 46396.1586772009. The cubic root of 2152603540 is about 1291.1836460953.

The spelling of 2152603540 in words is "two billion, one hundred fifty-two million, six hundred three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 739 1478 2956 3695 7390 14780 145643 291286 582572 728215 1456430 2912860 107630177 215260354 430520708 538150885 1076301770 2152603540