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1940122476 = 2233311573691
BaseRepresentation
bin111001110100011…
…1110101101101100
312000012200102201000
41303220332231230
512433132404401
6520303320300
766035524515
oct16350765554
95005612630
101940122476
1190616a806
124618b0090
1324bc41086
1414594da0c
15b54d6186
hex73a3eb6c

1940122476 has 96 divisors (see below), whose sum is σ = 5226690560. Its totient is φ = 621691200.

The previous prime is 1940122451. The next prime is 1940122493. The reversal of 1940122476 is 6742210491.

It is a happy number.

1940122476 is a `hidden beast` number, since 1 + 9 + 401 + 2 + 247 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1940122476.

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 31 ways as a sum of consecutive naturals, for example, 523791 + ... + 527481.

Almost surely, 21940122476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940122476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613345280).

1940122476 is an abundant number, since it is smaller than the sum of its proper divisors (3286568084).

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

1940122476 is a wasteful number, since it uses less digits than its factorization.

1940122476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1940122476 is about 44046.8214063172. The cubic root of 1940122476 is about 1247.2199498540.

The spelling of 1940122476 in words is "one billion, nine hundred forty million, one hundred twenty-two thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 157 186 279 314 372 471 558 628 837 942 1116 1413 1674 1884 2826 3348 3691 4239 4867 5652 7382 8478 9734 11073 14601 14764 16956 19468 22146 29202 33219 43803 44292 58404 66438 87606 99657 114421 131409 132876 175212 199314 228842 262818 343263 398628 457684 525636 579487 686526 1029789 1158974 1373052 1738461 2059578 2317948 3089367 3476922 4119156 5215383 6178734 6953844 10430766 12357468 15646149 17964097 20861532 31292298 35928194 53892291 62584596 71856388 107784582 161676873 215569164 323353746 485030619 646707492 970061238 1940122476