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4200134532 = 22311972231471
BaseRepresentation
bin1111101001011000…
…1111011110000100
3101211201021221102020
43322112033132010
532100213301112
61532435243140
7206040361116
oct37226173604
911751257366
104200134532
111865959270
129927494b0
1351c225009
142bbb6d3b6
15198b0948c
hexfa58f784

4200134532 has 96 divisors (see below), whose sum is σ = 10857283584. Its totient is φ = 1253145600.

The previous prime is 4200134507. The next prime is 4200134569. The reversal of 4200134532 is 2354310024.

It is a super-2 number, since 2×42001345322 = 35282260173797718048, which contains 22 as substring.

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, 2854557 + ... + 2856027.

It is an arithmetic number, because the mean of its divisors is an integer number (113096704).

Almost surely, 24200134532 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 4200134532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428641792).

4200134532 is an abundant number, since it is smaller than the sum of its proper divisors (6657149052).

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

4200134532 is a wasteful number, since it uses less digits than its factorization.

4200134532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4200134532 is about 64808.4449126809. Note that the first 3 decimals coincide. The cubic root of 4200134532 is about 1613.4458726488.

Adding to 4200134532 its reverse (2354310024), we get a palindrome (6554444556).

The spelling of 4200134532 in words is "four billion, two hundred million, one hundred thirty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 223 291 388 446 582 669 892 1067 1164 1338 1471 2134 2453 2676 2942 3201 4268 4413 4906 5884 6402 7359 8826 9812 12804 14718 16181 17652 21631 29436 32362 43262 48543 64724 64893 86524 97086 129786 142687 194172 237941 259572 285374 328033 428061 475882 570748 656066 713823 856122 951764 984099 1312132 1427646 1569557 1712244 1968198 2855292 3139114 3608363 3936396 4708671 6278228 7216726 9417342 10825089 14433452 18834684 21650178 31819201 43300356 63638402 95457603 127276804 190915206 350011211 381830412 700022422 1050033633 1400044844 2100067266 4200134532