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53086080 = 273543643
BaseRepresentation
bin1100101010000…
…0011110000000
310200220001102010
43022200132000
5102042223310
65133452520
71213136625
oct312403600
9120801363
1053086080
1127a693a3
1215941140
13acc8ca8
14709c34c
1549d9320
hex32a0780

53086080 has 128 divisors (see below), whose sum is σ = 173416320. Its totient is φ = 13805568.

The previous prime is 53086079. The next prime is 53086109. The reversal of 53086080 is 8068035.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82239 + ... + 82881.

It is an arithmetic number, because the mean of its divisors is an integer number (1354815).

Almost surely, 253086080 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 53086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86708160).

53086080 is an abundant number, since it is smaller than the sum of its proper divisors (120330240).

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

53086080 is a wasteful number, since it uses less digits than its factorization.

53086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 53086080 is about 7286.0194894057. The cubic root of 53086080 is about 375.8318245944.

The spelling of 53086080 in words is "fifty-three million, eighty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 258 320 344 384 430 480 516 640 643 645 688 860 960 1032 1286 1290 1376 1720 1920 1929 2064 2572 2580 2752 3215 3440 3858 4128 5144 5160 5504 6430 6880 7716 8256 9645 10288 10320 12860 13760 15432 16512 19290 20576 20640 25720 27520 27649 30864 38580 41152 41280 51440 55298 61728 77160 82304 82560 82947 102880 110596 123456 138245 154320 165894 205760 221192 246912 276490 308640 331788 411520 414735 442384 552980 617280 663576 829470 884768 1105960 1234560 1327152 1658940 1769536 2211920 2654304 3317880 3539072 4423840 5308608 6635760 8847680 10617216 13271520 17695360 26543040 53086080