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420611490 = 2325133071171
BaseRepresentation
bin11001000100100…
…000010110100010
31002022110021111100
4121010200112202
51330134031430
6105423055230
713265065365
oct3104402642
91068407440
10420611490
111a6473702
12b8a41516
13691aa150
143dc0c0dc
1526dd5960
hex191205a2

420611490 has 96 divisors (see below), whose sum is σ = 1182557376. Its totient is φ = 103109760.

The previous prime is 420611393. The next prime is 420611491. The reversal of 420611490 is 94116024.

420611490 is a `hidden beast` number, since 4 + 2 + 0 + 611 + 49 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (420611491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358605 + ... + 359775.

It is an arithmetic number, because the mean of its divisors is an integer number (12318306).

Almost surely, 2420611490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420611490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591278688).

420611490 is an abundant number, since it is smaller than the sum of its proper divisors (761945886).

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

420611490 is a wasteful number, since it uses less digits than its factorization.

420611490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 420611490 is about 20508.8149340716. The cubic root of 420611490 is about 749.2505045917.

The spelling of 420611490 in words is "four hundred twenty million, six hundred eleven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 307 390 585 614 921 1170 1171 1535 1842 2342 2763 3070 3513 3991 4605 5526 5855 7026 7982 9210 10539 11710 11973 13815 15223 17565 19955 21078 23946 27630 30446 35130 35919 39910 45669 52695 59865 71838 76115 91338 105390 119730 137007 152230 179595 228345 274014 359190 359497 456690 685035 718994 1078491 1370070 1797485 2156982 3235473 3594970 4673461 5392455 6470946 9346922 10784910 14020383 16177365 23367305 28040766 32354730 42061149 46734610 70101915 84122298 140203830 210305745 420611490