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42966960 = 2435179029
BaseRepresentation
bin1010001111100…
…1111110110000
32222211221120220
42203321332300
541444420320
64132533040
71031133051
oct243717660
988757526
1042966960
1122287793
1212481180
138b9514a
1459c6728
153b8ae40
hex28f9fb0

42966960 has 40 divisors (see below), whose sum is σ = 133198320. Its totient is φ = 11457792.

The previous prime is 42966907. The next prime is 42967003. The reversal of 42966960 is 6966924.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89275 + ... + 89754.

It is an arithmetic number, because the mean of its divisors is an integer number (3329958).

Almost surely, 242966960 is an apocalyptic number.

42966960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42966960 is an abundant number, since it is smaller than the sum of its proper divisors (90231360).

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

42966960 is a wasteful number, since it uses less digits than its factorization.

42966960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179045 (or 179039 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 42966960 is about 6554.9187637987. The cubic root of 42966960 is about 350.2500526034.

The spelling of 42966960 in words is "forty-two million, nine hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 179029 358058 537087 716116 895145 1074174 1432232 1790290 2148348 2685435 2864464 3580580 4296696 5370870 7161160 8593392 10741740 14322320 21483480 42966960