Search a number
-
+
10400471120 = 2451310000453
BaseRepresentation
bin10011010111110101…
…01001100001010000
3222211211022200020002
421223322221201100
5132300010033440
64440010105132
7515506355144
oct115372514120
928754280202
1010400471120
114457881986
12202311b1a8
13c99965330
1470940b224
1540d116115
hex26bea9850

10400471120 has 40 divisors (see below), whose sum is σ = 26041182216. Its totient is φ = 3840173568.

The previous prime is 10400471119. The next prime is 10400471141. The reversal of 10400471120 is 2117400401.

It can be written as a sum of positive squares in 4 ways, for example, as 2428124176 + 7972346944 = 49276^2 + 89288^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 10400471092 and 10400471101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4999187 + ... + 5001266.

Almost surely, 210400471120 is an apocalyptic number.

10400471120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400471120 is an abundant number, since it is smaller than the sum of its proper divisors (15640711096).

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

10400471120 is a wasteful number, since it uses less digits than its factorization.

10400471120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000479 (or 10000473 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 10400471120 its reverse (2117400401), we get a palindrome (12517871521).

The spelling of 10400471120 in words is "ten billion, four hundred million, four hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 10000453 20000906 40001812 50002265 80003624 100004530 130005889 160007248 200009060 260011778 400018120 520023556 650029445 800036240 1040047112 1300058890 2080094224 2600117780 5200235560 10400471120