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2990520 = 233451371
BaseRepresentation
bin1011011010000110111000
312121221020000
423122012320
51231144040
6144033000
734263501
oct13320670
95557200
102990520
111762905
121002760
13809250
1457bba8
153e1130
hex2da1b8

2990520 has 160 divisors (see below), whose sum is σ = 10977120. Its totient is φ = 725760.

The previous prime is 2990513. The next prime is 2990527. The reversal of 2990520 is 250992.

2990520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2990513) and next prime (2990527).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2990527) 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, 42085 + ... + 42155.

It is an arithmetic number, because the mean of its divisors is an integer number (68607).

22990520 is an apocalyptic number.

2990520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2990520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488560).

2990520 is an abundant number, since it is smaller than the sum of its proper divisors (7986600).

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

2990520 is a wasteful number, since it uses less digits than its factorization.

2990520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 94 counting only the distinct ones).

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

The square root of 2990520 is about 1729.3120019245. The cubic root of 2990520 is about 144.0728797753.

The spelling of 2990520 in words is "two million, nine hundred ninety thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 71 72 78 81 90 104 108 117 120 130 135 142 156 162 180 195 213 216 234 260 270 284 312 324 351 355 360 390 405 426 468 520 540 568 585 639 648 702 710 780 810 852 923 936 1053 1065 1080 1170 1278 1404 1420 1560 1620 1704 1755 1846 1917 2106 2130 2340 2556 2769 2808 2840 3195 3240 3510 3692 3834 4212 4260 4615 4680 5112 5265 5538 5751 6390 7020 7384 7668 8307 8424 8520 9230 9585 10530 11076 11502 12780 13845 14040 15336 16614 18460 19170 21060 22152 23004 24921 25560 27690 28755 33228 36920 38340 41535 42120 46008 49842 55380 57510 66456 74763 76680 83070 99684 110760 115020 124605 149526 166140 199368 230040 249210 299052 332280 373815 498420 598104 747630 996840 1495260 2990520