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1941801040 = 245791132719
BaseRepresentation
bin111001110111101…
…1000100001010000
312000022211201021001
41303233120201100
512434100113130
6520403311344
766056015344
oct16357304120
95008751231
101941801040
11907106953
1246237b554
1324c3ab0ca
14145c69624
15b57186ca
hex73bd8850

1941801040 has 80 divisors (see below), whose sum is σ = 4613990400. Its totient is φ = 759822336.

The previous prime is 1941801031. The next prime is 1941801049. The reversal of 1941801040 is 401081491.

It is an interprime number because it is at equal distance from previous prime (1941801031) and next prime (1941801049).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1941801049) 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, 712801 + ... + 715519.

It is an arithmetic number, because the mean of its divisors is an integer number (57674880).

Almost surely, 21941801040 is an apocalyptic number.

1941801040 is a gapful number since it is divisible by the number (10) 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 1941801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306995200).

1941801040 is an abundant number, since it is smaller than the sum of its proper divisors (2672189360).

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

1941801040 is a wasteful number, since it uses less digits than its factorization.

1941801040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1941801040 is about 44065.8716015013. The cubic root of 1941801040 is about 1247.5795379828.

The spelling of 1941801040 in words is "one billion, nine hundred forty-one million, eight hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 113 158 226 316 395 452 565 632 790 904 1130 1264 1580 1808 2260 2719 3160 4520 5438 6320 8927 9040 10876 13595 17854 21752 27190 35708 43504 44635 54380 71416 89270 108760 142832 178540 214801 217520 307247 357080 429602 614494 714160 859204 1074005 1228988 1536235 1718408 2148010 2457976 3072470 3436816 4296020 4915952 6144940 8592040 12289880 17184080 24272513 24579760 48545026 97090052 121362565 194180104 242725130 388360208 485450260 970900520 1941801040