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2990603232 = 253231477127
BaseRepresentation
bin1011001001000000…
…1111101111100000
321201102100101101200
42302100033233200
522111043300412
61212431001200
7134052464601
oct26220175740
97642311350
102990603232
1112a5132521
126b5669200
13388774416
1420527bda8
151278399dc
hexb240fbe0

2990603232 has 144 divisors (see below), whose sum is σ = 8966909952. Its totient is φ = 944052480.

The previous prime is 2990603227. The next prime is 2990603251. The reversal of 2990603232 is 2323060992.

2990603232 is a `hidden beast` number, since 29 + 9 + 0 + 603 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416053 + ... + 423179.

It is an arithmetic number, because the mean of its divisors is an integer number (62270208).

Almost surely, 22990603232 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 2990603232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483454976).

2990603232 is an abundant number, since it is smaller than the sum of its proper divisors (5976306720).

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

2990603232 is a wasteful number, since it uses less digits than its factorization.

2990603232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7221 (or 7210 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 2990603232 is about 54686.4081102425. The cubic root of 2990603232 is about 1440.7421637257.

The spelling of 2990603232 in words is "two billion, nine hundred ninety million, six hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 47 48 62 72 93 94 96 124 141 144 186 188 248 279 282 288 372 376 423 496 558 564 744 752 846 992 1116 1128 1457 1488 1504 1692 2232 2256 2914 2976 3384 4371 4464 4512 5828 6768 7127 8742 8928 11656 13113 13536 14254 17484 21381 23312 26226 28508 34968 42762 46624 52452 57016 64143 69936 85524 104904 114032 128286 139872 171048 209808 220937 228064 256572 334969 342096 419616 441874 513144 662811 669938 684192 883748 1004907 1026288 1325622 1339876 1767496 1988433 2009814 2052576 2651244 2679752 3014721 3534992 3976866 4019628 5302488 5359504 6029442 7069984 7953732 8039256 10384039 10604976 10719008 12058884 15907464 16078512 20768078 21209952 24117768 31152117 31814928 32157024 41536156 48235536 62304234 63629856 83072312 93456351 96471072 124608468 166144624 186912702 249216936 332289248 373825404 498433872 747650808 996867744 1495301616 2990603232