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556872030 = 2335111314423
BaseRepresentation
bin100001001100010…
…011000101011110
31102210212000211000
4201030103011132
52120024401110
6131131411130
716541222421
oct4114230536
91383760730
10556872030
11266381220
121365b3aa6
138b4a83a0
1453d5b9b8
1533d4e1c0
hex2131315e

556872030 has 128 divisors (see below), whose sum is σ = 1744727040. Its totient is φ = 124606080.

The previous prime is 556872011. The next prime is 556872047. The reversal of 556872030 is 30278655.

556872030 is a `hidden beast` number, since 556 + 8 + 72 + 0 + 30 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31399 + ... + 45821.

It is an arithmetic number, because the mean of its divisors is an integer number (13630680).

Almost surely, 2556872030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556872030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872363520).

556872030 is an abundant number, since it is smaller than the sum of its proper divisors (1187855010).

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

556872030 is a wasteful number, since it uses less digits than its factorization.

556872030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14463 (or 14457 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 556872030 is about 23598.1361552136. The cubic root of 556872030 is about 822.7195202472.

The spelling of 556872030 in words is "five hundred fifty-six million, eight hundred seventy-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 90 99 110 117 130 135 143 165 195 198 234 270 286 297 330 351 390 429 495 585 594 702 715 858 990 1170 1287 1430 1485 1755 2145 2574 2970 3510 3861 4290 6435 7722 12870 14423 19305 28846 38610 43269 72115 86538 129807 144230 158653 187499 216345 259614 317306 374998 389421 432690 475959 562497 649035 778842 793265 937495 951918 1124994 1298070 1427877 1586530 1687491 1874990 1947105 2062489 2379795 2812485 2855754 3374982 3894210 4124978 4283631 4759590 5062473 5624970 6187467 7139385 8437455 8567262 10124946 10312445 12374934 14278770 16874910 18562401 20624890 21418155 25312365 30937335 37124802 42836310 50624730 55687203 61874670 92812005 111374406 185624010 278436015 556872030