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420461436 = 223234732413
BaseRepresentation
bin11001000011111…
…011101101111100
31002022011122122210
4121003323231330
51330114231221
6105415540420
713263602043
oct3103735574
91068148583
10420461436
111a638099a
12b898a710
1369156a65
143dbad55a
1526da6276
hex190fbb7c

420461436 has 48 divisors (see below), whose sum is σ = 1045545984. Its totient is φ = 131203776.

The previous prime is 420461423. The next prime is 420461441. The reversal of 420461436 is 634164024.

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, 3235 + ... + 29178.

It is an arithmetic number, because the mean of its divisors is an integer number (21782208).

Almost surely, 2420461436 is an apocalyptic number.

420461436 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

420461436 is an abundant number, since it is smaller than the sum of its proper divisors (625084548).

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

420461436 is a wasteful number, since it uses less digits than its factorization.

420461436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32490 (or 32488 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 420461436 is about 20505.1563271290. The cubic root of 420461436 is about 749.1613951164.

The spelling of 420461436 in words is "four hundred twenty million, four hundred sixty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 564 1081 2162 3243 4324 6486 12972 32413 64826 97239 129652 194478 388956 745499 1490998 1523411 2236497 2981996 3046822 4472994 4570233 6093644 8945988 9140466 18280932 35038453 70076906 105115359 140153812 210230718 420461436