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1940747796 = 2233137119469
BaseRepresentation
bin111001110101101…
…0111011000010100
312000020212012111000
41303223113120110
512433312412141
6520324543300
766044040561
oct16353273024
95006765430
101940747796
119065575a9
12461b51b30
1324c0cc8a0
14145a73868
15b55ab5b6
hex73ad7614

1940747796 has 96 divisors (see below), whose sum is σ = 5495212800. Its totient is φ = 588712320.

The previous prime is 1940747779. The next prime is 1940747819. The reversal of 1940747796 is 6977470491.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 89950 + ... + 109418.

It is an arithmetic number, because the mean of its divisors is an integer number (57241800).

Almost surely, 21940747796 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 1940747796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747606400).

1940747796 is an abundant number, since it is smaller than the sum of its proper divisors (3554465004).

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

1940747796 is a wasteful number, since it uses less digits than its factorization.

1940747796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19566 (or 19558 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 1940747796 is about 44053.9191900108. The cubic root of 1940747796 is about 1247.3539324269.

The spelling of 1940747796 in words is "one billion, nine hundred forty million, seven hundred forty-seven thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 71 78 108 117 142 156 213 234 284 351 426 468 639 702 852 923 1278 1404 1846 1917 2556 2769 3692 3834 5538 7668 8307 11076 16614 19469 24921 33228 38938 49842 58407 77876 99684 116814 175221 233628 253097 350442 506194 525663 700884 759291 1012388 1051326 1382299 1518582 2102652 2277873 2764598 3037164 4146897 4555746 5529196 6833619 8293794 9111492 12440691 13667238 16587588 17969887 24881382 27334476 35939774 37322073 49762764 53909661 71879548 74644146 107819322 149288292 161728983 215638644 323457966 485186949 646915932 970373898 1940747796