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55330240 = 2657171453
BaseRepresentation
bin1101001100010…
…0010111000000
310212010001211011
43103010113000
5103131031430
65253530304
71241204440
oct323042700
9125101734
1055330240
1129261479
1216643994
13b6035b4
1474c4120
154cce22a
hex34c45c0

55330240 has 112 divisors (see below), whose sum is σ = 159544512. Its totient is φ = 17842176.

The previous prime is 55330237. The next prime is 55330271. The reversal of 55330240 is 4203355.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×553302402 = 6122870916915200, which contains 22 as substring.

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, 37354 + ... + 38806.

Almost surely, 255330240 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 55330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79772256).

55330240 is an abundant number, since it is smaller than the sum of its proper divisors (104214272).

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

55330240 is a wasteful number, since it uses less digits than its factorization.

55330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 55330240 is about 7438.4299418627. The cubic root of 55330240 is about 381.0548713920.

Adding to 55330240 its reverse (4203355), we get a palindrome (59533595).

The spelling of 55330240 in words is "fifty-five million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 680 952 1088 1120 1190 1360 1453 1904 2240 2380 2720 2906 3808 4760 5440 5812 7265 7616 9520 10171 11624 14530 19040 20342 23248 24701 29060 38080 40684 46496 49402 50855 58120 81368 92992 98804 101710 116240 123505 162736 172907 197608 203420 232480 247010 325472 345814 395216 406840 464960 494020 650944 691628 790432 813680 864535 988040 1383256 1580864 1627360 1729070 1976080 2766512 3254720 3458140 3952160 5533024 6916280 7904320 11066048 13832560 27665120 55330240