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940066480 = 245131271331
BaseRepresentation
bin111000000010000…
…100011010110000
32102111220022210001
4320002010122300
53411124111410
6233140515344
732203301413
oct7002043260
92374808701
10940066480
11442708951
122229abb54
1311c9b4572
148cbc9b7a
15577e333a
hex380846b0

940066480 has 80 divisors (see below), whose sum is σ = 2217143808. Its totient is φ = 370656000.

The previous prime is 940066451. The next prime is 940066487. The reversal of 940066480 is 84660049.

940066480 is a nontrivial binomial coefficient, being equal to C(43361, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (940066487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2839915 + ... + 2840245.

Almost surely, 2940066480 is an apocalyptic number.

940066480 is the 43360-th triangular number.

940066480 is the 14454-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 940066480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108571904).

940066480 is an abundant number, since it is smaller than the sum of its proper divisors (1277077328).

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

940066480 is a wasteful number, since it uses less digits than its factorization.

940066480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 940066480 is about 30660.5035836008. The cubic root of 940066480 is about 979.6092013926.

The spelling of 940066480 in words is "nine hundred forty million, sixty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 271 331 524 542 655 662 1048 1084 1310 1324 1355 1655 2096 2168 2620 2648 2710 3310 4336 5240 5296 5420 6620 10480 10840 13240 21680 26480 35501 43361 71002 86722 89701 142004 173444 177505 179402 216805 284008 346888 355010 358804 433610 448505 568016 693776 710020 717608 867220 897010 1420040 1435216 1734440 1794020 2840080 3468880 3588040 7176080 11750831 23501662 47003324 58754155 94006648 117508310 188013296 235016620 470033240 940066480