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252058260 = 223543151647
BaseRepresentation
bin11110000011000…
…01101010010100
3122120021212221010
433001201222110
51004011331020
641002252220
76150313506
oct1701415224
9576255833
10252058260
1111a30a113
12704b7070
13402b34cc
1425693d76
15171ddde0
hexf061a94

252058260 has 96 divisors (see below), whose sum is σ = 728082432. Its totient is φ = 65116800.

The previous prime is 252058259. The next prime is 252058267. The reversal of 252058260 is 62850252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252058267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389257 + ... + 389903.

It is an arithmetic number, because the mean of its divisors is an integer number (7584192).

Almost surely, 2252058260 is an apocalyptic number.

252058260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252058260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364041216).

252058260 is an abundant number, since it is smaller than the sum of its proper divisors (476024172).

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

252058260 is a wasteful number, since it uses less digits than its factorization.

252058260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 252058260 is about 15876.3427778566. The cubic root of 252058260 is about 631.6846320877.

The spelling of 252058260 in words is "two hundred fifty-two million, fifty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 151 172 215 258 302 430 453 516 604 645 647 755 860 906 1290 1294 1510 1812 1941 2265 2580 2588 3020 3235 3882 4530 6470 6493 7764 9060 9705 12940 12986 19410 19479 25972 27821 32465 38820 38958 55642 64930 77916 83463 97395 97697 111284 129860 139105 166926 194790 195394 278210 293091 333852 389580 390788 417315 488485 556420 586182 834630 976970 1172364 1465455 1669260 1953940 2930910 4200971 5861820 8401942 12602913 16803884 21004855 25205826 42009710 50411652 63014565 84019420 126029130 252058260