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54860080 = 24511312011
BaseRepresentation
bin1101000101000…
…1100100110000
310211020011212211
43101101210300
5103021010310
65235501504
71234205632
oct321214460
9124204784
1054860080
1128a70210
1216457894
13b49a5b2
147400a52
154c39c8a
hex3451930

54860080 has 80 divisors (see below), whose sum is σ = 143705088. Its totient is φ = 19296000.

The previous prime is 54860059. The next prime is 54860081. The reversal of 54860080 is 8006845.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (54860081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26275 + ... + 28285.

Almost surely, 254860080 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 54860080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71852544).

54860080 is an abundant number, since it is smaller than the sum of its proper divisors (88845008).

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

54860080 is a wasteful number, since it uses less digits than its factorization.

54860080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 54860080 is about 7406.7590753311. The cubic root of 54860080 is about 379.9724818485.

The spelling of 54860080 in words is "fifty-four million, eight hundred sixty thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2011 2480 2728 3410 4022 5456 6820 8044 10055 13640 16088 20110 22121 27280 32176 40220 44242 62341 80440 88484 110605 124682 160880 176968 221210 249364 311705 353936 442420 498728 623410 685751 884840 997456 1246820 1371502 1769680 2493640 2743004 3428755 4987280 5486008 6857510 10972016 13715020 27430040 54860080