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53006720 = 2751323277
BaseRepresentation
bin1100101000110…
…1000110000000
310200202000112212
43022031012000
5102032203340
65132041252
71212356354
oct312150600
9120660485
1053006720
1127a14808
1215903228
13ac9bb30
14707b464
1549c0a65
hex328d180

53006720 has 128 divisors (see below), whose sum is σ = 142914240. Its totient is φ = 18653184.

The previous prime is 53006699. The next prime is 53006729. The reversal of 53006720 is 2760035.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53006729) 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, 191222 + ... + 191498.

Almost surely, 253006720 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 53006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71457120).

53006720 is an abundant number, since it is smaller than the sum of its proper divisors (89907520).

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

53006720 is a wasteful number, since it uses less digits than its factorization.

53006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 53006720 is about 7280.5714061466. The cubic root of 53006720 is about 375.6444503740.

Adding to 53006720 its reverse (2760035), we get a palindrome (55766755).

The spelling of 53006720 in words is "fifty-three million, six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 128 130 160 184 208 230 260 277 299 320 368 416 460 520 554 598 640 736 832 920 1040 1108 1196 1385 1472 1495 1664 1840 2080 2216 2392 2770 2944 2990 3601 3680 4160 4432 4784 5540 5980 6371 7202 7360 8320 8864 9568 11080 11960 12742 14404 14720 17728 18005 19136 22160 23920 25484 28808 31855 35456 36010 38272 44320 47840 50968 57616 63710 72020 82823 88640 95680 101936 115232 127420 144040 165646 177280 191360 203872 230464 254840 288080 331292 407744 414115 460928 509680 576160 662584 815488 828230 1019360 1152320 1325168 1656460 2038720 2304640 2650336 3312920 4077440 5300672 6625840 10601344 13251680 26503360 53006720