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2013239280 = 2435131737957
BaseRepresentation
bin111011111111111…
…1001011111110000
312012022021011002210
41313333321133300
513110342124110
6531434412120
7100614152163
oct16777713760
95168234083
102013239280
1194346a518
12482291040
13261131460
14151543ada
15bbb2a520
hex77ff97f0

2013239280 has 160 divisors (see below), whose sum is σ = 7116669504. Its totient is φ = 466403328.

The previous prime is 2013239279. The next prime is 2013239299. The reversal of 2013239280 is 829323102.

It is a happy number.

It is a super-3 number, since 3×20132392803 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34062 + ... + 72018.

Almost surely, 22013239280 is an apocalyptic number.

2013239280 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 2013239280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558334752).

2013239280 is an abundant number, since it is smaller than the sum of its proper divisors (5103430224).

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

2013239280 is a wasteful number, since it uses less digits than its factorization.

2013239280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38003 (or 37997 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2013239280 is about 44869.1350484941. The cubic root of 2013239280 is about 1262.6950125840.

The spelling of 2013239280 in words is "two billion, thirteen million, two hundred thirty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 1020 1040 1105 1326 1360 1560 1768 2040 2210 2652 3120 3315 3536 4080 4420 5304 6630 8840 10608 13260 17680 26520 37957 53040 75914 113871 151828 189785 227742 303656 379570 455484 493441 569355 607312 645269 759140 910968 986882 1138710 1290538 1480323 1518280 1821936 1935807 1973764 2277420 2467205 2581076 2960646 3036560 3226345 3871614 3947528 4554840 4934410 5162152 5921292 6452690 7401615 7743228 7895056 8388497 9109680 9679035 9868820 10324304 11842584 12905380 14803230 15486456 16776994 19358070 19737640 23685168 25165491 25810760 29606460 30972912 33553988 38716140 39475280 41942485 50330982 51621520 59212920 67107976 77432280 83884970 100661964 118425840 125827455 134215952 154864560 167769940 201323928 251654910 335539880 402647856 503309820 671079760 1006619640 2013239280