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940494120 = 233531376833
BaseRepresentation
bin111000000011101…
…100110100101000
32102112201001101120
4320003230310220
53411231302440
6233154015240
732210032236
oct7003546450
92375631346
10940494120
11442980175
12222b77520
1311cb040c7
148cc9b956
1557879dd0
hex380ecd28

940494120 has 128 divisors (see below), whose sum is σ = 2991651840. Its totient is φ = 236113920.

The previous prime is 940494059. The next prime is 940494197. The reversal of 940494120 is 21494049.

940494120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134224 + ... + 141056.

It is an arithmetic number, because the mean of its divisors is an integer number (23372280).

Almost surely, 2940494120 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 940494120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495825920).

940494120 is an abundant number, since it is smaller than the sum of its proper divisors (2051157720).

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

940494120 is a wasteful number, since it uses less digits than its factorization.

940494120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6915 (or 6911 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 940494120 is about 30667.4765835078. The cubic root of 940494120 is about 979.7577215881.

The spelling of 940494120 in words is "nine hundred forty million, four hundred ninety-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 37 40 60 62 74 93 111 120 124 148 155 185 186 222 248 296 310 370 372 444 465 555 620 740 744 888 930 1110 1147 1240 1480 1860 2220 2294 3441 3720 4440 4588 5735 6833 6882 9176 11470 13666 13764 17205 20499 22940 27332 27528 34165 34410 40998 45880 54664 68330 68820 81996 102495 136660 137640 163992 204990 211823 252821 273320 409980 423646 505642 635469 758463 819960 847292 1011284 1059115 1264105 1270938 1516926 1694584 2022568 2118230 2528210 2541876 3033852 3177345 3792315 4236460 5056420 5083752 6067704 6354690 7584630 7837451 8472920 10112840 12709380 15169260 15674902 23512353 25418760 30338520 31349804 39187255 47024706 62699608 78374510 94049412 117561765 156749020 188098824 235123530 313498040 470247060 940494120