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553009680 = 2435528447
BaseRepresentation
bin100000111101100…
…100001000010000
31102112120210200000
4200331210020100
52113032302210
6130512530000
716463335056
oct4075441020
91375523600
10553009680
112641833a3
12135250900
138a755382
14536341d6
1533839ac0
hex20f64210

553009680 has 120 divisors (see below), whose sum is σ = 1926043392. Its totient is φ = 147464064.

The previous prime is 553009673. The next prime is 553009697. The reversal of 553009680 is 86900355.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5217 + ... + 33663.

Almost surely, 2553009680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553009680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963021696).

553009680 is an abundant number, since it is smaller than the sum of its proper divisors (1373033712).

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

553009680 is a wasteful number, since it uses less digits than its factorization.

553009680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28475 (or 28457 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 553009680 is about 23516.1578494447. The cubic root of 553009680 is about 820.8130345729.

It can be divided in two parts, 55300 and 9680, that added together give a triangular number (64980 = T360).

The spelling of 553009680 in words is "five hundred fifty-three million, nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 28447 56894 85341 113788 142235 170682 227576 256023 284470 341364 426705 455152 512046 568940 682728 768069 853410 1024092 1137880 1280115 1365456 1536138 1706820 2048184 2275760 2304207 2560230 3072276 3413640 3840345 4096368 4608414 5120460 6144552 6827280 6912621 7680690 9216828 10240920 11521035 12289104 13825242 15361380 18433656 20481840 23042070 27650484 30722760 34563105 36867312 46084140 55300968 61445520 69126210 92168280 110601936 138252420 184336560 276504840 553009680