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420503096 = 231323179127
BaseRepresentation
bin11001000100000…
…101111000111000
31002022020202210202
4121010011320320
51330122044341
6105420501332
713264134356
oct3104057070
91068222722
10420503096
111a63aa222
12b89aa848
136916ca00
143dbc07d6
1526db379b
hex19105e38

420503096 has 96 divisors (see below), whose sum is σ = 899481600. Its totient is φ = 183980160.

The previous prime is 420503087. The next prime is 420503099. The reversal of 420503096 is 690305024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420503099) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3310985 + ... + 3311111.

It is an arithmetic number, because the mean of its divisors is an integer number (9369600).

Almost surely, 2420503096 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 420503096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449740800).

420503096 is an abundant number, since it is smaller than the sum of its proper divisors (478978504).

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

420503096 is a wasteful number, since it uses less digits than its factorization.

420503096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 420503096 is about 20506.1721440156. The cubic root of 420503096 is about 749.1861370073.

The spelling of 420503096 in words is "four hundred twenty million, five hundred three thousand, ninety-six".

Divisors: 1 2 4 8 13 26 31 52 62 79 104 124 127 158 169 248 254 316 338 403 508 632 676 806 1016 1027 1352 1612 1651 2054 2449 3224 3302 3937 4108 4898 5239 6604 7874 8216 9796 10033 10478 13208 13351 15748 19592 20066 20956 21463 26702 31496 31837 40132 41912 42926 51181 53404 63674 80264 85852 102362 106808 127348 130429 171704 204724 254696 260858 311023 409448 413881 521716 622046 665353 827762 1043432 1244092 1330706 1655524 1695577 2488184 2661412 3311048 3391154 4043299 5322824 6782308 8086598 13564616 16173196 32346392 52562887 105125774 210251548 420503096