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54075060 = 22335137703
BaseRepresentation
bin1100111001000…
…1111010110100
310202202022001000
43032101322310
5102320400220
65211003300
71224426144
oct316217264
9122668030
1054075060
1128584436
1216139530
13b2841a0
147278924
154b32390
hex3391eb4

54075060 has 96 divisors (see below), whose sum is σ = 181198080. Its totient is φ = 13309056.

The previous prime is 54075059. The next prime is 54075061. The reversal of 54075060 is 6057045.

It is an interprime number because it is at equal distance from previous prime (54075059) and next prime (54075061).

It is a super-2 number, since 2×540750602 = 5848224228007200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54075061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3169 + ... + 10871.

It is an arithmetic number, because the mean of its divisors is an integer number (1887480).

Almost surely, 254075060 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 54075060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90599040).

54075060 is an abundant number, since it is smaller than the sum of its proper divisors (127123020).

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

54075060 is a wasteful number, since it uses less digits than its factorization.

54075060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7734 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 54075060 is about 7353.5746409484. The cubic root of 54075060 is about 378.1513629139.

The spelling of 54075060 in words is "fifty-four million, seventy-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 7703 15406 23109 30812 38515 46218 69327 77030 92436 100139 115545 138654 154060 200278 207981 231090 277308 300417 346635 400556 415962 462180 500695 600834 693270 831924 901251 1001390 1039905 1201668 1386540 1502085 1802502 2002780 2079810 2703753 3004170 3605004 4159620 4506255 5407506 6008340 9012510 10815012 13518765 18025020 27037530 54075060