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315132420 = 223519926393
BaseRepresentation
bin10010110010001…
…000101000000100
3210221222101102010
4102302020220010
51121133214140
651134214220
710544403261
oct2262105004
9727871363
10315132420
1115197a719
1289654370
13503987b5
142dbd2268
151c9ec880
hex12c88a04

315132420 has 48 divisors (see below), whose sum is σ = 886838400. Its totient is φ = 83609856.

The previous prime is 315132413. The next prime is 315132443. The reversal of 315132420 is 24231513.

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, 1257 + ... + 25136.

It is an arithmetic number, because the mean of its divisors is an integer number (18475800).

Almost surely, 2315132420 is an apocalyptic number.

315132420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315132420 is an abundant number, since it is smaller than the sum of its proper divisors (571705980).

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

315132420 is a wasteful number, since it uses less digits than its factorization.

315132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26604 (or 26602 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 315132420 is about 17751.9694682027. The cubic root of 315132420 is about 680.5045419290.

Adding to 315132420 its reverse (24231513), we get a palindrome (339363933).

It can be divided in two parts, 31513 and 2420, that added together give a palindrome (33933).

The spelling of 315132420 in words is "three hundred fifteen million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 199 398 597 796 995 1194 1990 2388 2985 3980 5970 11940 26393 52786 79179 105572 131965 158358 263930 316716 395895 527860 791790 1583580 5252207 10504414 15756621 21008828 26261035 31513242 52522070 63026484 78783105 105044140 157566210 315132420