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5290920 = 233452371
BaseRepresentation
bin10100001011101110101000
3100221210210000
4110023232220
52323302140
6305223000
762654265
oct24135650
910853700
105290920
112a94168
121931a60
13113332b
149ba26c
156e7a30
hex50bba8

5290920 has 160 divisors (see below), whose sum is σ = 18817920. Its totient is φ = 1330560.

The previous prime is 5290919. The next prime is 5290921. The reversal of 5290920 is 290925.

It is an interprime number because it is at equal distance from previous prime (5290919) and next prime (5290921).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5290921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74485 + ... + 74555.

It is an arithmetic number, because the mean of its divisors is an integer number (117612).

Almost surely, 25290920 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 5290920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9408960).

5290920 is an abundant number, since it is smaller than the sum of its proper divisors (13527000).

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

5290920 is a wasteful number, since it uses less digits than its factorization.

5290920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5290920 is about 2300.1999913051. The cubic root of 5290920 is about 174.2517165356.

The spelling of 5290920 in words is "five million, two hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 71 72 81 90 92 108 115 120 135 138 142 162 180 184 207 213 216 230 270 276 284 324 345 355 360 405 414 426 460 540 552 568 621 639 648 690 710 810 828 852 920 1035 1065 1080 1242 1278 1380 1420 1620 1633 1656 1704 1863 1917 2070 2130 2484 2556 2760 2840 3105 3195 3240 3266 3726 3834 4140 4260 4899 4968 5112 5751 6210 6390 6532 7452 7668 8165 8280 8520 9315 9585 9798 11502 12420 12780 13064 14697 14904 15336 16330 18630 19170 19596 23004 24495 24840 25560 28755 29394 32660 37260 38340 39192 44091 46008 48990 57510 58788 65320 73485 74520 76680 88182 97980 115020 117576 132273 146970 176364 195960 220455 230040 264546 293940 352728 440910 529092 587880 661365 881820 1058184 1322730 1763640 2645460 5290920