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3940121520 = 2432515136241
BaseRepresentation
bin1110101011011001…
…0111101110110000
3101011121000220121200
43222312113232300
531032132342040
61450550251200
7166432323516
oct35266275660
911147026550
103940121520
111742106685
1291b656b00
134aa3b7b6a
142954084b6
15180d98630
hexead97bb0

3940121520 has 120 divisors (see below), whose sum is σ = 13320239712. Its totient is φ = 1043712000.

The previous prime is 3940121509. The next prime is 3940121567. The reversal of 3940121520 is 251210493.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×39401215202 = 31049115184734220800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90600 + ... + 126840.

Almost surely, 23940121520 is an apocalyptic number.

3940121520 is a gapful number since it is divisible by the number (30) 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 3940121520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6660119856).

3940121520 is an abundant number, since it is smaller than the sum of its proper divisors (9380118192).

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

3940121520 is a wasteful number, since it uses less digits than its factorization.

3940121520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36411 (or 36402 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3940121520 is about 62770.3872857257. The cubic root of 3940121520 is about 1579.4402653314.

The spelling of 3940121520 in words is "three billion, nine hundred forty million, one hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 151 180 240 302 360 453 604 720 755 906 1208 1359 1510 1812 2265 2416 2718 3020 3624 4530 5436 6040 6795 7248 9060 10872 12080 13590 18120 21744 27180 36240 36241 54360 72482 108720 108723 144964 181205 217446 289928 326169 362410 434892 543615 579856 652338 724820 869784 1087230 1304676 1449640 1630845 1739568 2174460 2609352 2899280 3261690 4348920 5218704 5472391 6523380 8697840 10944782 13046760 16417173 21889564 26093520 27361955 32834346 43779128 49251519 54723910 65668692 82085865 87558256 98503038 109447820 131337384 164171730 197006076 218895640 246257595 262674768 328343460 394012152 437791280 492515190 656686920 788024304 985030380 1313373840 1970060760 3940121520