Search a number
-
+
10417162440 = 233586809687
BaseRepresentation
bin10011011001110100…
…10100100011001000
3222212222201200102010
421230322110203020
5132313243144230
64441403535520
7516101263656
oct115472244310
928788650363
1010417162440
114466242363
12202882a5a0
13ca025a759
1470b713dd6
1540e8119b0
hex26ce948c8

10417162440 has 32 divisors (see below), whose sum is σ = 31251487680. Its totient is φ = 2777909952.

The previous prime is 10417162439. The next prime is 10417162463. The reversal of 10417162440 is 4426171401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10417162398 and 10417162407.

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, 43404724 + ... + 43404963.

It is an arithmetic number, because the mean of its divisors is an integer number (976608990).

Almost surely, 210417162440 is an apocalyptic number.

10417162440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10417162440 is an abundant number, since it is smaller than the sum of its proper divisors (20834325240).

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

10417162440 is a wasteful number, since it uses less digits than its factorization.

10417162440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86809701 (or 86809697 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 10417162440 in words is "ten billion, four hundred seventeen million, one hundred sixty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 86809687 173619374 260429061 347238748 434048435 520858122 694477496 868096870 1041716244 1302145305 1736193740 2083432488 2604290610 3472387480 5208581220 10417162440