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1940155840 = 26575411601
BaseRepresentation
bin111001110100100…
…0110110111000000
312000012202010110201
41303221012313000
512433134441330
6520304134544
766036024010
oct16351066700
95005663421
101940155840
11906192887
12461907454
1324bc5330c
1414595bc40
15b54e0eca
hex73a46dc0

1940155840 has 112 divisors (see below), whose sum is σ = 5293059264. Its totient is φ = 663552000.

The previous prime is 1940155831. The next prime is 1940155901. The reversal of 1940155840 is 485510491.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×19401558402 = 7528409366972211200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1940155840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1211040 + ... + 1212640.

Almost surely, 21940155840 is an apocalyptic number.

1940155840 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 1940155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646529632).

1940155840 is an abundant number, since it is smaller than the sum of its proper divisors (3352903424).

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

1940155840 is a wasteful number, since it uses less digits than its factorization.

1940155840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 1940155840 is about 44047.2001380337. The cubic root of 1940155840 is about 1247.2270992322.

The spelling of 1940155840 in words is "one billion, nine hundred forty million, one hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 541 560 1082 1120 1601 2164 2240 2705 3202 3787 4328 5410 6404 7574 8005 8656 10820 11207 12808 15148 16010 17312 18935 21640 22414 25616 30296 32020 34624 37870 43280 44828 51232 56035 60592 64040 75740 86560 89656 102464 112070 121184 128080 151480 173120 179312 224140 242368 256160 302960 358624 448280 512320 605920 717248 866141 896560 1211840 1732282 1793120 3464564 3586240 4330705 6062987 6929128 8661410 12125974 13858256 17322820 24251948 27716512 30314935 34645640 48503896 55433024 60629870 69291280 97007792 121259740 138582560 194015584 242519480 277165120 388031168 485038960 970077920 1940155840