Search a number
-
+
400105153 = 7431518803
BaseRepresentation
bin10111110110010…
…001111011000001
31000212212110002101
4113312101323001
51304411331103
6103411350401
712625560220
oct2766217301
91025773071
10400105153
11195937a18
12b1bb2401
1364b7a416
143b1d0cb7
15251d4a1d
hex17d91ec1

400105153 has 16 divisors (see below), whose sum is σ = 471049216. Its totient is φ = 332715600.

The previous prime is 400105133. The next prime is 400105157. The reversal of 400105153 is 351501004.

It is a de Polignac number, because none of the positive numbers 2k-400105153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 400105153.

It is not an unprimeable number, because it can be changed into a prime (400105157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41050 + ... + 49852.

It is an arithmetic number, because the mean of its divisors is an integer number (29440576).

Almost surely, 2400105153 is an apocalyptic number.

400105153 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

400105153 is a deficient number, since it is larger than the sum of its proper divisors (70944063).

400105153 is a wasteful number, since it uses less digits than its factorization.

400105153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9004.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 400105153 is about 20002.6286522547. The cubic root of 400105153 is about 736.8708585653.

Adding to 400105153 its reverse (351501004), we get a palindrome (751606157).

The spelling of 400105153 in words is "four hundred million, one hundred five thousand, one hundred fifty-three".

Divisors: 1 7 43 151 301 1057 6493 8803 45451 61621 378529 1329253 2649703 9304771 57157879 400105153