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2990508960 = 253543144889
BaseRepresentation
bin1011001000111111…
…1000101110100000
321201102011121002010
42302033320232200
522111032241320
61212424552520
7134051623005
oct26217705640
97642147063
102990508960
1112a507870a
126b5622740
1338874053a
142052558ac
1512781bae0
hexb23f8ba0

2990508960 has 96 divisors (see below), whose sum is σ = 9639241920. Its totient is φ = 778917888.

The previous prime is 2990508959. The next prime is 2990509001. The reversal of 2990508960 is 698050992.

2990508960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 51805 + ... + 93084.

It is an arithmetic number, because the mean of its divisors is an integer number (100408770).

Almost surely, 22990508960 is an apocalyptic number.

2990508960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2990508960 is an abundant number, since it is smaller than the sum of its proper divisors (6648732960).

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

2990508960 is a wasteful number, since it uses less digits than its factorization.

2990508960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144950 (or 144942 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 2990508960 is about 54685.5461708119. The cubic root of 2990508960 is about 1440.7270248544.

The spelling of 2990508960 in words is "two billion, nine hundred ninety million, five hundred eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 10320 20640 144889 289778 434667 579556 724445 869334 1159112 1448890 1738668 2173335 2318224 2897780 3477336 4346670 4636448 5795560 6230227 6954672 8693340 11591120 12460454 13909344 17386680 18690681 23182240 24920908 31151135 34773360 37381362 49841816 62302270 69546720 74762724 93453405 99683632 124604540 149525448 186906810 199367264 249209080 299050896 373813620 498418160 598101792 747627240 996836320 1495254480 2990508960