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2076061440 = 28354711503
BaseRepresentation
bin111101110111110…
…0010111100000000
312100200110211220110
41323233202330000
513222432431230
6542001111320
7102306142155
oct17357427400
95320424813
102076061440
11975978762
1249b328540
13271158b2b
14159a1822c
15c23d94b0
hex7bbe2f00

2076061440 has 144 divisors (see below), whose sum is σ = 6772082688. Its totient is φ = 541790208.

The previous prime is 2076061433. The next prime is 2076061499. The reversal of 2076061440 is 441606702.

It is a super-2 number, since 2×20760614402 = 8620062205309747200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2076061398 and 2076061407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174729 + ... + 186231.

It is an arithmetic number, because the mean of its divisors is an integer number (47028352).

Almost surely, 22076061440 is an apocalyptic number.

2076061440 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 2076061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386041344).

2076061440 is an abundant number, since it is smaller than the sum of its proper divisors (4696021248).

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

2076061440 is a wasteful number, since it uses less digits than its factorization.

2076061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11574 (or 11560 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2076061440 is about 45563.8172237577. The cubic root of 2076061440 is about 1275.6946495362.

The spelling of 2076061440 in words is "two billion, seventy-six million, sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 256 282 320 376 384 470 480 564 640 705 752 768 940 960 1128 1280 1410 1504 1880 1920 2256 2820 3008 3760 3840 4512 5640 6016 7520 9024 11280 11503 12032 15040 18048 22560 23006 30080 34509 36096 45120 46012 57515 60160 69018 90240 92024 115030 138036 172545 180480 184048 230060 276072 345090 368096 460120 540641 552144 690180 736192 920240 1081282 1104288 1380360 1472384 1621923 1840480 2162564 2208576 2703205 2760720 2944768 3243846 3680960 4325128 4417152 5406410 5521440 6487692 7361920 8109615 8650256 8834304 10812820 11042880 12975384 14723840 16219230 17300512 21625640 22085760 25950768 32438460 34601024 43251280 44171520 51901536 64876920 69202048 86502560 103803072 129753840 138404096 173005120 207606144 259507680 346010240 415212288 519015360 692020480 1038030720 2076061440