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2978012940 = 2235715146957
BaseRepresentation
bin1011000110000000…
…1101111100001100
321200112122201202120
42301200031330030
522044332403230
61211301052540
7133540456320
oct26140157414
97615581676
102978012940
111299013221
126b13b7150
13385c86846
14203721980
1512669e310
hexb180df0c

2978012940 has 96 divisors (see below), whose sum is σ = 9592955904. Its totient is φ = 676166400.

The previous prime is 2978012903. The next prime is 2978012953. The reversal of 2978012940 is 492108792.

It is a super-2 number, since 2×29780129402 = 17737122141614887200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2978012892 and 2978012901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39942 + ... + 86898.

It is an arithmetic number, because the mean of its divisors is an integer number (99926624).

Almost surely, 22978012940 is an apocalyptic number.

2978012940 is a gapful number since it is divisible by the number (20) 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 2978012940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796477952).

2978012940 is an abundant number, since it is smaller than the sum of its proper divisors (6614942964).

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

2978012940 is a wasteful number, since it uses less digits than its factorization.

2978012940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47127 (or 47125 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 2978012940 is about 54571.1731594621. The cubic root of 2978012940 is about 1438.7175020205.

The spelling of 2978012940 in words is "two billion, nine hundred seventy-eight million, twelve thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 151 210 302 420 453 604 755 906 1057 1510 1812 2114 2265 3020 3171 4228 4530 5285 6342 9060 10570 12684 15855 21140 31710 46957 63420 93914 140871 187828 234785 281742 328699 469570 563484 657398 704355 939140 986097 1314796 1408710 1643495 1972194 2817420 3286990 3944388 4930485 6573980 7090507 9860970 14181014 19721940 21271521 28362028 35452535 42543042 49633549 70905070 85086084 99267098 106357605 141810140 148900647 198534196 212715210 248167745 297801294 425430420 496335490 595602588 744503235 992670980 1489006470 2978012940