Search a number
-
+
1656656540 = 22571110110651
BaseRepresentation
bin110001010111110…
…1001001010011100
311021110021212112122
41202233221022130
511343101002130
6432215522112
756024230310
oct14257511234
94243255478
101656656540
11780159640
123a2989338
132052b1c56
1411a041b40
159a6912e5
hex62be929c

1656656540 has 96 divisors (see below), whose sum is σ = 4380784128. Its totient is φ = 511200000.

The previous prime is 1656656503. The next prime is 1656656549. The reversal of 1656656540 is 456566561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1656656491 and 1656656500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1656656549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150215 + ... + 160865.

It is an arithmetic number, because the mean of its divisors is an integer number (45633168).

Almost surely, 21656656540 is an apocalyptic number.

1656656540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1656656540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190392064).

1656656540 is an abundant number, since it is smaller than the sum of its proper divisors (2724127588).

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

1656656540 is a wasteful number, since it uses less digits than its factorization.

1656656540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10779 (or 10777 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

The square root of 1656656540 is about 40702.0458945248. The cubic root of 1656656540 is about 1183.2526699408.

The spelling of 1656656540 in words is "one billion, six hundred fifty-six million, six hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 10651 11110 14140 15554 21302 22220 31108 38885 42604 53255 74557 77770 106510 117161 149114 155540 213020 234322 298228 372785 468644 585805 745570 820127 1075751 1171610 1491140 1640254 2151502 2343220 3280508 4100635 4303004 5378755 7530257 8201270 10757510 11833261 15060514 16402540 21515020 23666522 30121028 37651285 47333044 59166305 75302570 82832827 118332610 150605140 165665654 236665220 331331308 414164135 828328270 1656656540