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55131440 = 2457137573
BaseRepresentation
bin1101001001001…
…1110100110000
310211201222010012
43102103310300
5103103201230
65245354052
71236416030
oct322236460
9124658105
1055131440
1129136081
1216568928
13b563c70
1474718c0
154c90395
hex3493d30

55131440 has 80 divisors (see below), whose sum is σ = 157781568. Its totient is φ = 17445888.

The previous prime is 55131409. The next prime is 55131449. The reversal of 55131440 is 4413155.

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

It is not an unprimeable number, because it can be changed into a prime (55131449) 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, 3494 + ... + 11066.

Almost surely, 255131440 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 55131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78890784).

55131440 is an abundant number, since it is smaller than the sum of its proper divisors (102650128).

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

55131440 is a wasteful number, since it uses less digits than its factorization.

55131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7606 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 55131440 is about 7425.0548819521. The cubic root of 55131440 is about 380.5979505657.

Adding to 55131440 its reverse (4413155), we get a palindrome (59544595).

The spelling of 55131440 in words is "fifty-five million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 7573 15146 30292 37865 53011 60584 75730 98449 106022 121168 151460 196898 212044 265055 302920 393796 424088 492245 530110 605840 689143 787592 848176 984490 1060220 1378286 1575184 1968980 2120440 2756572 3445715 3937960 4240880 5513144 6891430 7875920 11026288 13782860 27565720 55131440