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420254460 = 223351574957
BaseRepresentation
bin11001000011001…
…001001011111100
31002021210010202000
4121003021023330
51330041120320
6105411302300
713262050443
oct3103111374
91067703660
10420254460
111a624a43a
12b88aa990
13690b37a2
143db57d5a
1526d64c90
hex190c92fc

420254460 has 96 divisors (see below), whose sum is σ = 1316051520. Its totient is φ = 111331584.

The previous prime is 420254447. The next prime is 420254489. The reversal of 420254460 is 64452024.

It is a super-2 number, since 2×4202544602 = 353227622299783200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82302 + ... + 87258.

It is an arithmetic number, because the mean of its divisors is an integer number (13708870).

Almost surely, 2420254460 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 420254460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658025760).

420254460 is an abundant number, since it is smaller than the sum of its proper divisors (895797060).

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

420254460 is a wasteful number, since it uses less digits than its factorization.

420254460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 420254460 is about 20500.1087801992. The cubic root of 420254460 is about 749.0384477499.

The spelling of 420254460 in words is "four hundred twenty million, two hundred fifty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 157 180 270 314 471 540 628 785 942 1413 1570 1884 2355 2826 3140 4239 4710 4957 5652 7065 8478 9420 9914 14130 14871 16956 19828 21195 24785 28260 29742 42390 44613 49570 59484 74355 84780 89226 99140 133839 148710 178452 223065 267678 297420 446130 535356 669195 778249 892260 1338390 1556498 2334747 2676780 3112996 3891245 4669494 7004241 7782490 9338988 11673735 14008482 15564980 21012723 23347470 28016964 35021205 42025446 46694940 70042410 84050892 105063615 140084820 210127230 420254460