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2061329920 = 29513232693
BaseRepresentation
bin111101011011101…
…0110011000000000
312022122202102001121
41322313112120000
513210200024140
6540313242024
7102040005136
oct17267263000
95278672047
102061329920
11968626751
12496403314
1326b09b760
14157aa1756
15c0e7964a
hex7add6600

2061329920 has 160 divisors (see below), whose sum is σ = 5556019392. Its totient is φ = 727744512.

The previous prime is 2061329887. The next prime is 2061329927. The reversal of 2061329920 is 299231602.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2061329927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764094 + ... + 766786.

Almost surely, 22061329920 is an apocalyptic number.

2061329920 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 2061329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778009696).

2061329920 is an abundant number, since it is smaller than the sum of its proper divisors (3494689472).

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

2061329920 is a wasteful number, since it uses less digits than its factorization.

2061329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 2061329920 is about 45401.8713270720. The cubic root of 2061329920 is about 1272.6700845547.

The spelling of 2061329920 in words is "two billion, sixty-one million, three hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 128 130 160 184 208 230 256 260 299 320 368 416 460 512 520 598 640 736 832 920 1040 1196 1280 1472 1495 1664 1840 2080 2392 2560 2693 2944 2990 3328 3680 4160 4784 5386 5888 5980 6656 7360 8320 9568 10772 11776 11960 13465 14720 16640 19136 21544 23920 26930 29440 33280 35009 38272 43088 47840 53860 58880 61939 70018 76544 86176 95680 107720 123878 140036 153088 172352 175045 191360 215440 247756 280072 309695 344704 350090 382720 430880 495512 560144 619390 689408 700180 765440 805207 861760 991024 1120288 1238780 1378816 1400360 1610414 1723520 1982048 2240576 2477560 2800720 3220828 3447040 3964096 4026035 4481152 4955120 5601440 6441656 6894080 7928192 8052070 8962304 9910240 11202880 12883312 15856384 16104140 17924608 19820480 22405760 25766624 31712768 32208280 39640960 44811520 51533248 64416560 79281920 89623040 103066496 128833120 158563840 206132992 257666240 412265984 515332480 1030664960 2061329920