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94664640 = 2635714087
BaseRepresentation
bin1011010010001…
…11011111000000
320121010110110210
411221013133000
5143213232030
613220554120
72226431130
oct551073700
9217113423
1094664640
1149487a44
1227852940
13167c61a5
14c802ac0
15849dbb0
hex5a477c0

94664640 has 112 divisors (see below), whose sum is σ = 343521792. Its totient is φ = 21636096.

The previous prime is 94664639. The next prime is 94664651. The reversal of 94664640 is 4646649.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×946646402 = 17922788132659200, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 324 + ... + 13763.

Almost surely, 294664640 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 94664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171760896).

94664640 is an abundant number, since it is smaller than the sum of its proper divisors (248857152).

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

94664640 is a wasteful number, since it uses less digits than its factorization.

94664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14114 (or 14104 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 94664640 is about 9729.5755303096. The cubic root of 94664640 is about 455.7527129513.

The spelling of 94664640 in words is "ninety-four million, six hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 14087 28174 42261 56348 70435 84522 98609 112696 140870 169044 197218 211305 225392 281740 295827 338088 394436 422610 450784 493045 563480 591654 676176 788872 845220 901568 986090 1126960 1183308 1352352 1479135 1577744 1690440 1972180 2253920 2366616 2704704 2958270 3155488 3380880 3944360 4507840 4733232 5916540 6310976 6761760 7888720 9466464 11833080 13523520 15777440 18932928 23666160 31554880 47332320 94664640