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419542740 = 22345258977
BaseRepresentation
bin11001000000011…
…011011011010100
31002020102222110000
4121000123123110
51324400331430
6105344131300
713253024451
oct3100333324
91066388400
10419542740
111a5903741
12b8606b30
1368bc4856
143da10828
1526c73e60
hex1901b6d4

419542740 has 60 divisors (see below), whose sum is σ = 1316126196. Its totient is φ = 111877632.

The previous prime is 419542703. The next prime is 419542759. The reversal of 419542740 is 47245914.

It is a happy number.

419542740 is a `hidden beast` number, since 4 + 195 + 427 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 167495364 + 252047376 = 12942^2 + 15876^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×4195427402 = 352032221373415200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 419542695 and 419542704.

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 19 ways as a sum of consecutive naturals, for example, 127869 + ... + 131108.

Almost surely, 2419542740 is an apocalyptic number.

It is an amenable number.

419542740 is an abundant number, since it is smaller than the sum of its proper divisors (896583456).

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

419542740 is a wasteful number, since it uses less digits than its factorization.

419542740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258998 (or 258987 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 419542740 is about 20482.7424921567. The cubic root of 419542740 is about 748.6153652887.

The spelling of 419542740 in words is "four hundred nineteen million, five hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 258977 517954 776931 1035908 1294885 1553862 2330793 2589770 3107724 3884655 4661586 5179540 6992379 7769310 9323172 11653965 13984758 15538620 20977137 23307930 27969516 34961895 41954274 46615860 69923790 83908548 104885685 139847580 209771370 419542740