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423042960 = 243517103687
BaseRepresentation
bin11001001101110…
…001111110010000
31002111000210211210
4121031301332100
51331244333320
6105551140120
713324543254
oct3115617620
91074023753
10423042960
111a788448a
12b9814640
136984baa2
1440282264
15272160e0
hex19371f90

423042960 has 80 divisors (see below), whose sum is σ = 1388589696. Its totient is φ = 106174464.

The previous prime is 423042953. The next prime is 423042967. The reversal of 423042960 is 69240324.

It is an interprime number because it is at equal distance from previous prime (423042953) and next prime (423042967).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (423042967) 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, 47764 + ... + 55923.

Almost surely, 2423042960 is an apocalyptic number.

423042960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423042960 is an abundant number, since it is smaller than the sum of its proper divisors (965546736).

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

423042960 is a wasteful number, since it uses less digits than its factorization.

423042960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103720 (or 103714 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 423042960 is about 20568.0081680264. The cubic root of 423042960 is about 750.6914867100.

The spelling of 423042960 in words is "four hundred twenty-three million, forty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 103687 207374 311061 414748 518435 622122 829496 1036870 1244244 1555305 1658992 1762679 2073740 2488488 3110610 3525358 4147480 4976976 5288037 6221220 7050716 8294960 8813395 10576074 12442440 14101432 17626790 21152148 24884880 26440185 28202864 35253580 42304296 52880370 70507160 84608592 105760740 141014320 211521480 423042960