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54989660 = 22511231733
BaseRepresentation
bin1101000111000…
…1001101011100
310211110202122002
43101301031130
5103034132120
65242341432
71235255465
oct321611534
9124422562
1054989660
1129049600
12164ba878
13b51457b
147435d6c
154c63375
hex347135c

54989660 has 72 divisors (see below), whose sum is σ = 131203968. Its totient is φ = 19324800.

The previous prime is 54989653. The next prime is 54989663. The reversal of 54989660 is 6698945.

54989660 = T9 + T10 + ... + T690.

54989660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54989663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74654 + ... + 75386.

Almost surely, 254989660 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 54989660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65601984).

54989660 is an abundant number, since it is smaller than the sum of its proper divisors (76214308).

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

54989660 is a wasteful number, since it uses less digits than its factorization.

54989660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The square root of 54989660 is about 7415.5013316700. The cubic root of 54989660 is about 380.2714127471.

It can be divided in two parts, 549 and 89660, that added together give a palindrome (90209).

The spelling of 54989660 in words is "fifty-four million, nine hundred eighty-nine thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 220 242 310 341 484 605 620 682 733 1210 1364 1466 1705 2420 2932 3410 3665 3751 6820 7330 7502 8063 14660 15004 16126 18755 22723 32252 37510 40315 45446 75020 80630 88693 90892 113615 161260 177386 227230 249953 354772 443465 454460 499906 886930 999812 1249765 1773860 2499530 2749483 4999060 5498966 10997932 13747415 27494830 54989660