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556140006 = 2351783811
BaseRepresentation
bin100001001001100…
…000010111100110
31102202110211200000
4201021200113212
52114332440011
6131104002130
716532053302
oct4111402746
91382424600
10556140006
11265a21244
12136300346
138b2b0136
1453c0ad02
1533c57356
hex212605e6

556140006 has 96 divisors (see below), whose sum is σ = 1340696448. Its totient is φ = 172160640.

The previous prime is 556139993. The next prime is 556140019. The reversal of 556140006 is 600041655.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (556139993) and next prime (556140019).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685341 + ... + 686151.

It is an arithmetic number, because the mean of its divisors is an integer number (13965588).

Almost surely, 2556140006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556140006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670348224).

556140006 is an abundant number, since it is smaller than the sum of its proper divisors (784556442).

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

556140006 is a wasteful number, since it uses less digits than its factorization.

556140006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 556140006 is about 23582.6208467168. The cubic root of 556140006 is about 822.3588661614.

The spelling of 556140006 in words is "five hundred fifty-six million, one hundred forty thousand, six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 83 102 153 162 166 243 249 306 459 486 498 747 811 918 1377 1411 1494 1622 2241 2433 2754 2822 4131 4233 4482 4866 6723 7299 8262 8466 12699 13446 13787 14598 20169 21897 25398 27574 38097 40338 41361 43794 65691 67313 76194 82722 114291 124083 131382 134626 197073 201939 228582 248166 342873 372249 394146 403878 605817 685746 744498 1116747 1144321 1211634 1817451 2233494 2288642 3350241 3432963 3634902 5452353 6700482 6865926 10298889 10904706 16357059 20597778 30896667 32714118 61793334 92690001 185380002 278070003 556140006