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54661080 = 23351732633
BaseRepresentation
bin1101000010000…
…0111111011000
310210212001220110
43100200333120
5102443123310
65231324320
71232416515
oct320407730
9123761813
1054661080
1128944751
12163806a0
13b42ab46
14738c30c
154bead20
hex3420fd8

54661080 has 64 divisors (see below), whose sum is σ = 164993760. Its totient is φ = 14486528.

The previous prime is 54661039. The next prime is 54661129. The reversal of 54661080 is 8016645.

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, 19444 + ... + 22076.

Almost surely, 254661080 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 54661080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82496880).

54661080 is an abundant number, since it is smaller than the sum of its proper divisors (110332680).

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

54661080 is a wasteful number, since it uses less digits than its factorization.

54661080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2816 counting only the distinct ones).

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

The square root of 54661080 is about 7393.3131950432. The cubic root of 54661080 is about 379.5124865485.

The spelling of 54661080 in words is "fifty-four million, six hundred sixty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 519 692 865 1038 1384 1730 2076 2595 2633 3460 4152 5190 5266 6920 7899 10380 10532 13165 15798 20760 21064 26330 31596 39495 52660 63192 78990 105320 157980 315960 455509 911018 1366527 1822036 2277545 2733054 3644072 4555090 5466108 6832635 9110180 10932216 13665270 18220360 27330540 54661080