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297420520 = 235291132269
BaseRepresentation
bin10001101110100…
…100011011101000
3202201122112020211
4101232210123220
51102114424040
645302430504
710241014135
oct2156443350
9681575224
10297420520
11142982491
1283732434
1349806997
142b70158c
151b19e8ea
hex11ba46e8

297420520 has 64 divisors (see below), whose sum is σ = 698706000. Its totient is φ = 113799168.

The previous prime is 297420511. The next prime is 297420523. The reversal of 297420520 is 25024792.

It can be written as a sum of positive squares in 8 ways, for example, as 3709476 + 293711044 = 1926^2 + 17138^2 .

It is not an unprimeable number, because it can be changed into a prime (297420523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129946 + ... + 132214.

Almost surely, 2297420520 is an apocalyptic number.

297420520 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 297420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349353000).

297420520 is an abundant number, since it is smaller than the sum of its proper divisors (401285480).

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

297420520 is a wasteful number, since it uses less digits than its factorization.

297420520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 297420520 is about 17245.8841466595. The cubic root of 297420520 is about 667.5087702888.

The spelling of 297420520 in words is "two hundred ninety-seven million, four hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 113 116 145 226 232 290 452 565 580 904 1130 1160 2260 2269 3277 4520 4538 6554 9076 11345 13108 16385 18152 22690 26216 32770 45380 65540 65801 90760 131080 131602 256397 263204 329005 512794 526408 658010 1025588 1281985 1316020 2051176 2563970 2632040 5127940 7435513 10255880 14871026 29742052 37177565 59484104 74355130 148710260 297420520