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455770040 = 235116116981
BaseRepresentation
bin11011001010100…
…111111110111000
31011202121111221212
4123022213332320
51413134120130
6113120422252
714202660425
oct3312477670
91152544855
10455770040
112142a7860
12108777988
137356a11b
1444760d4c
152a02ce95
hex1b2a7fb8

455770040 has 64 divisors (see below), whose sum is σ = 1137114720. Its totient is φ = 163008000.

The previous prime is 455770037. The next prime is 455770069. The reversal of 455770040 is 40077554.

It is a junction number, because it is equal to n+sod(n) for n = 455769979 and 455770006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18350 + ... + 35330.

Almost surely, 2455770040 is an apocalyptic number.

455770040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455770040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568557360).

455770040 is an abundant number, since it is smaller than the sum of its proper divisors (681344680).

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

455770040 is a wasteful number, since it uses less digits than its factorization.

455770040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17064 (or 17060 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 455770040 is about 21348.7713932207. The cubic root of 455770040 is about 769.5708183416.

The spelling of 455770040 in words is "four hundred fifty-five million, seven hundred seventy thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 440 488 610 671 1220 1342 2440 2684 3355 5368 6710 13420 16981 26840 33962 67924 84905 135848 169810 186791 339620 373582 679240 747164 933955 1035841 1494328 1867910 2071682 3735820 4143364 5179205 7471640 8286728 10358410 11394251 20716820 22788502 41433640 45577004 56971255 91154008 113942510 227885020 455770040